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Finding the Third Proportional to 342,894 and 527,373

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Solution

The third proportional to 342,894 and 527,373 is: 811,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,894 : 527,373 = 527,373 : x
  2. Step 2: Convert to fraction form
    342,894/527,373 = 527,373/x
  3. Step 3: Cross multiply
    342,894x = 527,373 × 527,373
  4. Step 4: Simplify right side
    342,894x = 278,122,281,129
  5. Step 5: Solve for x
    x = 278,122,281,129/342,894
  6. Step 6: Final answer
    x = 811,102.79

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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.