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Finding the Third Proportional to 344,687 and 744,718

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Solution

The third proportional to 344,687 and 744,718 is: 1,609,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,687 : 744,718 = 744,718 : x
  2. Step 2: Convert to fraction form
    344,687/744,718 = 744,718/x
  3. Step 3: Cross multiply
    344,687x = 744,718 × 744,718
  4. Step 4: Simplify right side
    344,687x = 554,604,899,524
  5. Step 5: Solve for x
    x = 554,604,899,524/344,687
  6. Step 6: Final answer
    x = 1,609,010.20

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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.