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Finding the Third Proportional to 527,596.88 and 817,458.75

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Solution

The third proportional to 527,596.88 and 817,458.75 is: 1,266,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,596.88 : 817,458.75 = 817,458.75 : x
  2. Step 2: Convert to fraction form
    527,596.88/817,458.75 = 817,458.75/x
  3. Step 3: Cross multiply
    527,596.88x = 817,458.75 × 817,458.75
  4. Step 4: Simplify right side
    527,596.88x = 668,238,807,951.56
  5. Step 5: Solve for x
    x = 668,238,807,951.56/527,596.88
  6. Step 6: Final answer
    x = 1,266,570.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.