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Finding the Third Proportional to 259,615.13 and 411,657.19

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Solution

The third proportional to 259,615.13 and 411,657.19 is: 652,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,615.13 : 411,657.19 = 411,657.19 : x
  2. Step 2: Convert to fraction form
    259,615.13/411,657.19 = 411,657.19/x
  3. Step 3: Cross multiply
    259,615.13x = 411,657.19 × 411,657.19
  4. Step 4: Simplify right side
    259,615.13x = 169,461,640,020.41
  5. Step 5: Solve for x
    x = 169,461,640,020.41/259,615.13
  6. Step 6: Final answer
    x = 652,741.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.