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Finding the Third Proportional to 445,581 and 731,470.50

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Solution

The third proportional to 445,581 and 731,470.50 is: 1,200,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,581 : 731,470.50 = 731,470.50 : x
  2. Step 2: Convert to fraction form
    445,581/731,470.50 = 731,470.50/x
  3. Step 3: Cross multiply
    445,581x = 731,470.50 × 731,470.50
  4. Step 4: Simplify right side
    445,581x = 535,049,092,370.25
  5. Step 5: Solve for x
    x = 535,049,092,370.25/445,581
  6. Step 6: Final answer
    x = 1,200,789.74

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.