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Finding the Third Proportional to 312,539 and 466,751

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Solution

The third proportional to 312,539 and 466,751 is: 697,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,539 : 466,751 = 466,751 : x
  2. Step 2: Convert to fraction form
    312,539/466,751 = 466,751/x
  3. Step 3: Cross multiply
    312,539x = 466,751 × 466,751
  4. Step 4: Simplify right side
    312,539x = 217,856,496,001
  5. Step 5: Solve for x
    x = 217,856,496,001/312,539
  6. Step 6: Final answer
    x = 697,053.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.