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Finding the Third Proportional to 337,364 and 724,748

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Solution

The third proportional to 337,364 and 724,748 is: 1,556,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,364 : 724,748 = 724,748 : x
  2. Step 2: Convert to fraction form
    337,364/724,748 = 724,748/x
  3. Step 3: Cross multiply
    337,364x = 724,748 × 724,748
  4. Step 4: Simplify right side
    337,364x = 525,259,663,504
  5. Step 5: Solve for x
    x = 525,259,663,504/337,364
  6. Step 6: Final answer
    x = 1,556,952.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.