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Finding the Third Proportional to 572,186.25 and 865,644.75

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Solution

The third proportional to 572,186.25 and 865,644.75 is: 1,309,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,186.25 : 865,644.75 = 865,644.75 : x
  2. Step 2: Convert to fraction form
    572,186.25/865,644.75 = 865,644.75/x
  3. Step 3: Cross multiply
    572,186.25x = 865,644.75 × 865,644.75
  4. Step 4: Simplify right side
    572,186.25x = 749,340,833,202.56
  5. Step 5: Solve for x
    x = 749,340,833,202.56/572,186.25
  6. Step 6: Final answer
    x = 1,309,610.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.