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Finding the Third Proportional to 332,913 and 521,682

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Solution

The third proportional to 332,913 and 521,682 is: 817,487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,913 : 521,682 = 521,682 : x
  2. Step 2: Convert to fraction form
    332,913/521,682 = 521,682/x
  3. Step 3: Cross multiply
    332,913x = 521,682 × 521,682
  4. Step 4: Simplify right side
    332,913x = 272,152,109,124
  5. Step 5: Solve for x
    x = 272,152,109,124/332,913
  6. Step 6: Final answer
    x = 817,487.18

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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.