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Finding the Third Proportional to 272,058.75 and 399,552.75

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Solution

The third proportional to 272,058.75 and 399,552.75 is: 586,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,058.75 : 399,552.75 = 399,552.75 : x
  2. Step 2: Convert to fraction form
    272,058.75/399,552.75 = 399,552.75/x
  3. Step 3: Cross multiply
    272,058.75x = 399,552.75 × 399,552.75
  4. Step 4: Simplify right side
    272,058.75x = 159,642,400,032.56
  5. Step 5: Solve for x
    x = 159,642,400,032.56/272,058.75
  6. Step 6: Final answer
    x = 586,793.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.