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Finding the Third Proportional to 573,753.38 and 861,996.94

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Solution

The third proportional to 573,753.38 and 861,996.94 is: 1,295,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,753.38 : 861,996.94 = 861,996.94 : x
  2. Step 2: Convert to fraction form
    573,753.38/861,996.94 = 861,996.94/x
  3. Step 3: Cross multiply
    573,753.38x = 861,996.94 × 861,996.94
  4. Step 4: Simplify right side
    573,753.38x = 743,038,720,259.38
  5. Step 5: Solve for x
    x = 743,038,720,259.38/573,753.38
  6. Step 6: Final answer
    x = 1,295,048.98

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Why These Related Problems?

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