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Finding the Third Proportional to 393,264 and 861,563.25

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Solution

The third proportional to 393,264 and 861,563.25 is: 1,887,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,264 : 861,563.25 = 861,563.25 : x
  2. Step 2: Convert to fraction form
    393,264/861,563.25 = 861,563.25/x
  3. Step 3: Cross multiply
    393,264x = 861,563.25 × 861,563.25
  4. Step 4: Simplify right side
    393,264x = 742,291,233,750.56
  5. Step 5: Solve for x
    x = 742,291,233,750.56/393,264
  6. Step 6: Final answer
    x = 1,887,513.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.