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Finding the Third Proportional to 267,634.13 and 414,897.19

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Solution

The third proportional to 267,634.13 and 414,897.19 is: 643,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,634.13 : 414,897.19 = 414,897.19 : x
  2. Step 2: Convert to fraction form
    267,634.13/414,897.19 = 414,897.19/x
  3. Step 3: Cross multiply
    267,634.13x = 414,897.19 × 414,897.19
  4. Step 4: Simplify right side
    267,634.13x = 172,139,676,195.41
  5. Step 5: Solve for x
    x = 172,139,676,195.41/267,634.13
  6. Step 6: Final answer
    x = 643,190.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.