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Finding the Third Proportional to 623,077.31 and 933,580.69

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Solution

The third proportional to 623,077.31 and 933,580.69 is: 1,398,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,077.31 : 933,580.69 = 933,580.69 : x
  2. Step 2: Convert to fraction form
    623,077.31/933,580.69 = 933,580.69/x
  3. Step 3: Cross multiply
    623,077.31x = 933,580.69 × 933,580.69
  4. Step 4: Simplify right side
    623,077.31x = 871,572,900,072.97
  5. Step 5: Solve for x
    x = 871,572,900,072.97/623,077.31
  6. Step 6: Final answer
    x = 1,398,819.83

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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.