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Finding the Third Proportional to 573,144 and 861,156

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Solution

The third proportional to 573,144 and 861,156 is: 1,293,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,144 : 861,156 = 861,156 : x
  2. Step 2: Convert to fraction form
    573,144/861,156 = 861,156/x
  3. Step 3: Cross multiply
    573,144x = 861,156 × 861,156
  4. Step 4: Simplify right side
    573,144x = 741,589,656,336
  5. Step 5: Solve for x
    x = 741,589,656,336/573,144
  6. Step 6: Final answer
    x = 1,293,897.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.