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Finding the Third Proportional to 341,988,528 and 693,493,287

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Solution

The third proportional to 341,988,528 and 693,493,287 is: 1,406,283,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,988,528 : 693,493,287 = 693,493,287 : x
  2. Step 2: Convert to fraction form
    341,988,528/693,493,287 = 693,493,287/x
  3. Step 3: Cross multiply
    341,988,528x = 693,493,287 × 693,493,287
  4. Step 4: Simplify right side
    341,988,528x = 480,932,939,114,064,384
  5. Step 5: Solve for x
    x = 480,932,939,114,064,384/341,988,528
  6. Step 6: Final answer
    x = 1,406,283,836.26

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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.