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Finding the Third Proportional to 341,676 and 527,922

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Solution

The third proportional to 341,676 and 527,922 is: 815,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,676 : 527,922 = 527,922 : x
  2. Step 2: Convert to fraction form
    341,676/527,922 = 527,922/x
  3. Step 3: Cross multiply
    341,676x = 527,922 × 527,922
  4. Step 4: Simplify right side
    341,676x = 278,701,638,084
  5. Step 5: Solve for x
    x = 278,701,638,084/341,676
  6. Step 6: Final answer
    x = 815,689.83

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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.