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Finding the Third Proportional to 225,704 and 482,504

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Solution

The third proportional to 225,704 and 482,504 is: 1,031,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,704 : 482,504 = 482,504 : x
  2. Step 2: Convert to fraction form
    225,704/482,504 = 482,504/x
  3. Step 3: Cross multiply
    225,704x = 482,504 × 482,504
  4. Step 4: Simplify right side
    225,704x = 232,810,110,016
  5. Step 5: Solve for x
    x = 232,810,110,016/225,704
  6. Step 6: Final answer
    x = 1,031,484.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.