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Finding the Third Proportional to 337,597 and 522,570

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Solution

The third proportional to 337,597 and 522,570 is: 808,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,597 : 522,570 = 522,570 : x
  2. Step 2: Convert to fraction form
    337,597/522,570 = 522,570/x
  3. Step 3: Cross multiply
    337,597x = 522,570 × 522,570
  4. Step 4: Simplify right side
    337,597x = 273,079,404,900
  5. Step 5: Solve for x
    x = 273,079,404,900/337,597
  6. Step 6: Final answer
    x = 808,891.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.