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Finding the Third Proportional to 527,608 and 817,475

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Solution

The third proportional to 527,608 and 817,475 is: 1,266,594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,608 : 817,475 = 817,475 : x
  2. Step 2: Convert to fraction form
    527,608/817,475 = 817,475/x
  3. Step 3: Cross multiply
    527,608x = 817,475 × 817,475
  4. Step 4: Simplify right side
    527,608x = 668,265,375,625
  5. Step 5: Solve for x
    x = 668,265,375,625/527,608
  6. Step 6: Final answer
    x = 1,266,594.47

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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.