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Finding the Third Proportional to 218,497 and 476,712

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Solution

The third proportional to 218,497 and 476,712 is: 1,040,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,497 : 476,712 = 476,712 : x
  2. Step 2: Convert to fraction form
    218,497/476,712 = 476,712/x
  3. Step 3: Cross multiply
    218,497x = 476,712 × 476,712
  4. Step 4: Simplify right side
    218,497x = 227,254,330,944
  5. Step 5: Solve for x
    x = 227,254,330,944/218,497
  6. Step 6: Final answer
    x = 1,040,079.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.