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Finding the Third Proportional to 341,414 and 527,518

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Solution

The third proportional to 341,414 and 527,518 is: 815,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,414 : 527,518 = 527,518 : x
  2. Step 2: Convert to fraction form
    341,414/527,518 = 527,518/x
  3. Step 3: Cross multiply
    341,414x = 527,518 × 527,518
  4. Step 4: Simplify right side
    341,414x = 278,275,240,324
  5. Step 5: Solve for x
    x = 278,275,240,324/341,414
  6. Step 6: Final answer
    x = 815,066.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.