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Finding the Third Proportional to 458,863.31 and 510,531.19

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Solution

The third proportional to 458,863.31 and 510,531.19 is: 568,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,863.31 : 510,531.19 = 510,531.19 : x
  2. Step 2: Convert to fraction form
    458,863.31/510,531.19 = 510,531.19/x
  3. Step 3: Cross multiply
    458,863.31x = 510,531.19 × 510,531.19
  4. Step 4: Simplify right side
    458,863.31x = 260,642,093,410.16
  5. Step 5: Solve for x
    x = 260,642,093,410.16/458,863.31
  6. Step 6: Final answer
    x = 568,016.85

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.