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Finding the Third Proportional to 342,524 and 527,124

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Solution

The third proportional to 342,524 and 527,124 is: 811,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,524 : 527,124 = 527,124 : x
  2. Step 2: Convert to fraction form
    342,524/527,124 = 527,124/x
  3. Step 3: Cross multiply
    342,524x = 527,124 × 527,124
  4. Step 4: Simplify right side
    342,524x = 277,859,711,376
  5. Step 5: Solve for x
    x = 277,859,711,376/342,524
  6. Step 6: Final answer
    x = 811,212.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.