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Finding the Third Proportional to 560,081.25 and 861,404.63

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Solution

The third proportional to 560,081.25 and 861,404.63 is: 1,324,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,081.25 : 861,404.63 = 861,404.63 : x
  2. Step 2: Convert to fraction form
    560,081.25/861,404.63 = 861,404.63/x
  3. Step 3: Cross multiply
    560,081.25x = 861,404.63 × 861,404.63
  4. Step 4: Simplify right side
    560,081.25x = 742,017,927,971.39
  5. Step 5: Solve for x
    x = 742,017,927,971.39/560,081.25
  6. Step 6: Final answer
    x = 1,324,839.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.