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Finding the Third Proportional to 527,594 and 818,163

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Solution

The third proportional to 527,594 and 818,163 is: 1,268,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,594 : 818,163 = 818,163 : x
  2. Step 2: Convert to fraction form
    527,594/818,163 = 818,163/x
  3. Step 3: Cross multiply
    527,594x = 818,163 × 818,163
  4. Step 4: Simplify right side
    527,594x = 669,390,694,569
  5. Step 5: Solve for x
    x = 669,390,694,569/527,594
  6. Step 6: Final answer
    x = 1,268,761.01

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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.