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Finding the Third Proportional to 527,627.25 and 818,056.13

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Solution

The third proportional to 527,627.25 and 818,056.13 is: 1,268,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,627.25 : 818,056.13 = 818,056.13 : x
  2. Step 2: Convert to fraction form
    527,627.25/818,056.13 = 818,056.13/x
  3. Step 3: Cross multiply
    527,627.25x = 818,056.13 × 818,056.13
  4. Step 4: Simplify right side
    527,627.25x = 669,215,823,650.02
  5. Step 5: Solve for x
    x = 669,215,823,650.02/527,627.25
  6. Step 6: Final answer
    x = 1,268,349.62

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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.