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Finding the Third Proportional to 346,872.75 and 703,314.38

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Solution

The third proportional to 346,872.75 and 703,314.38 is: 1,426,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,872.75 : 703,314.38 = 703,314.38 : x
  2. Step 2: Convert to fraction form
    346,872.75/703,314.38 = 703,314.38/x
  3. Step 3: Cross multiply
    346,872.75x = 703,314.38 × 703,314.38
  4. Step 4: Simplify right side
    346,872.75x = 494,651,110,081.64
  5. Step 5: Solve for x
    x = 494,651,110,081.64/346,872.75
  6. Step 6: Final answer
    x = 1,426,030.47

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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.