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Finding the Third Proportional to 527,447.25 and 817,232.63

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Solution

The third proportional to 527,447.25 and 817,232.63 is: 1,266,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,447.25 : 817,232.63 = 817,232.63 : x
  2. Step 2: Convert to fraction form
    527,447.25/817,232.63 = 817,232.63/x
  3. Step 3: Cross multiply
    527,447.25x = 817,232.63 × 817,232.63
  4. Step 4: Simplify right side
    527,447.25x = 667,869,163,364.39
  5. Step 5: Solve for x
    x = 667,869,163,364.39/527,447.25
  6. Step 6: Final answer
    x = 1,266,229.30

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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.