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Finding the Third Proportional to 731,875.50 and 1,142,077.50

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Solution

The third proportional to 731,875.50 and 1,142,077.50 is: 1,782,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,875.50 : 1,142,077.50 = 1,142,077.50 : x
  2. Step 2: Convert to fraction form
    731,875.50/1,142,077.50 = 1,142,077.50/x
  3. Step 3: Cross multiply
    731,875.50x = 1,142,077.50 × 1,142,077.50
  4. Step 4: Simplify right side
    731,875.50x = 1,304,341,016,006.25
  5. Step 5: Solve for x
    x = 1,304,341,016,006.25/731,875.50
  6. Step 6: Final answer
    x = 1,782,189.75

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.