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Finding the Third Proportional to 227,865 and 490,791

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Solution

The third proportional to 227,865 and 490,791 is: 1,057,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,865 : 490,791 = 490,791 : x
  2. Step 2: Convert to fraction form
    227,865/490,791 = 490,791/x
  3. Step 3: Cross multiply
    227,865x = 490,791 × 490,791
  4. Step 4: Simplify right side
    227,865x = 240,875,805,681
  5. Step 5: Solve for x
    x = 240,875,805,681/227,865
  6. Step 6: Final answer
    x = 1,057,098.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.