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Finding the Third Proportional to 227,850 and 490,758

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Solution

The third proportional to 227,850 and 490,758 is: 1,057,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,850 : 490,758 = 490,758 : x
  2. Step 2: Convert to fraction form
    227,850/490,758 = 490,758/x
  3. Step 3: Cross multiply
    227,850x = 490,758 × 490,758
  4. Step 4: Simplify right side
    227,850x = 240,843,414,564
  5. Step 5: Solve for x
    x = 240,843,414,564/227,850
  6. Step 6: Final answer
    x = 1,057,026.18

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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.