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Finding the Third Proportional to 341,407 and 527,511

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Solution

The third proportional to 341,407 and 527,511 is: 815,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,407 : 527,511 = 527,511 : x
  2. Step 2: Convert to fraction form
    341,407/527,511 = 527,511/x
  3. Step 3: Cross multiply
    341,407x = 527,511 × 527,511
  4. Step 4: Simplify right side
    341,407x = 278,267,855,121
  5. Step 5: Solve for x
    x = 278,267,855,121/341,407
  6. Step 6: Final answer
    x = 815,061.95

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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.