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Finding the Third Proportional to 332,948 and 521,734

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Solution

The third proportional to 332,948 and 521,734 is: 817,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,948 : 521,734 = 521,734 : x
  2. Step 2: Convert to fraction form
    332,948/521,734 = 521,734/x
  3. Step 3: Cross multiply
    332,948x = 521,734 × 521,734
  4. Step 4: Simplify right side
    332,948x = 272,206,366,756
  5. Step 5: Solve for x
    x = 272,206,366,756/332,948
  6. Step 6: Final answer
    x = 817,564.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.