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Finding the Third Proportional to 344,691 and 744,723

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Solution

The third proportional to 344,691 and 744,723 is: 1,609,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,691 : 744,723 = 744,723 : x
  2. Step 2: Convert to fraction form
    344,691/744,723 = 744,723/x
  3. Step 3: Cross multiply
    344,691x = 744,723 × 744,723
  4. Step 4: Simplify right side
    344,691x = 554,612,346,729
  5. Step 5: Solve for x
    x = 554,612,346,729/344,691
  6. Step 6: Final answer
    x = 1,609,013.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.