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Finding the Third Proportional to 527,008 and 789,076

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Solution

The third proportional to 527,008 and 789,076 is: 1,181,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,008 : 789,076 = 789,076 : x
  2. Step 2: Convert to fraction form
    527,008/789,076 = 789,076/x
  3. Step 3: Cross multiply
    527,008x = 789,076 × 789,076
  4. Step 4: Simplify right side
    527,008x = 622,640,933,776
  5. Step 5: Solve for x
    x = 622,640,933,776/527,008
  6. Step 6: Final answer
    x = 1,181,463.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.