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Finding the Third Proportional to 337,330 and 724,688

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Solution

The third proportional to 337,330 and 724,688 is: 1,556,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,330 : 724,688 = 724,688 : x
  2. Step 2: Convert to fraction form
    337,330/724,688 = 724,688/x
  3. Step 3: Cross multiply
    337,330x = 724,688 × 724,688
  4. Step 4: Simplify right side
    337,330x = 525,172,697,344
  5. Step 5: Solve for x
    x = 525,172,697,344/337,330
  6. Step 6: Final answer
    x = 1,556,851.44

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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.