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Finding the Third Proportional to 347,666 and 732,694

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Solution

The third proportional to 347,666 and 732,694 is: 1,544,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,666 : 732,694 = 732,694 : x
  2. Step 2: Convert to fraction form
    347,666/732,694 = 732,694/x
  3. Step 3: Cross multiply
    347,666x = 732,694 × 732,694
  4. Step 4: Simplify right side
    347,666x = 536,840,497,636
  5. Step 5: Solve for x
    x = 536,840,497,636/347,666
  6. Step 6: Final answer
    x = 1,544,127.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.