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Finding the Third Proportional to 337,952 and 472,482

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Solution

The third proportional to 337,952 and 472,482 is: 660,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,952 : 472,482 = 472,482 : x
  2. Step 2: Convert to fraction form
    337,952/472,482 = 472,482/x
  3. Step 3: Cross multiply
    337,952x = 472,482 × 472,482
  4. Step 4: Simplify right side
    337,952x = 223,239,240,324
  5. Step 5: Solve for x
    x = 223,239,240,324/337,952
  6. Step 6: Final answer
    x = 660,564.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.