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Finding the Third Proportional to 349,416 and 527,022

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Solution

The third proportional to 349,416 and 527,022 is: 794,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,416 : 527,022 = 527,022 : x
  2. Step 2: Convert to fraction form
    349,416/527,022 = 527,022/x
  3. Step 3: Cross multiply
    349,416x = 527,022 × 527,022
  4. Step 4: Simplify right side
    349,416x = 277,752,188,484
  5. Step 5: Solve for x
    x = 277,752,188,484/349,416
  6. Step 6: Final answer
    x = 794,904.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.