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Finding the Third Proportional to 341,988,548.20 and 693,493,329.52

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Solution

The third proportional to 341,988,548.20 and 693,493,329.52 is: 1,406,283,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,988,548.20 : 693,493,329.52 = 693,493,329.52 : x
  2. Step 2: Convert to fraction form
    341,988,548.20/693,493,329.52 = 693,493,329.52/x
  3. Step 3: Cross multiply
    341,988,548.20x = 693,493,329.52 × 693,493,329.52
  4. Step 4: Simplify right side
    341,988,548.20x = 480,932,998,082,632,512
  5. Step 5: Solve for x
    x = 480,932,998,082,632,512/341,988,548.20
  6. Step 6: Final answer
    x = 1,406,283,925.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.