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Finding the Third Proportional to 225,708 and 482,512

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Solution

The third proportional to 225,708 and 482,512 is: 1,031,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,708 : 482,512 = 482,512 : x
  2. Step 2: Convert to fraction form
    225,708/482,512 = 482,512/x
  3. Step 3: Cross multiply
    225,708x = 482,512 × 482,512
  4. Step 4: Simplify right side
    225,708x = 232,817,830,144
  5. Step 5: Solve for x
    x = 232,817,830,144/225,708
  6. Step 6: Final answer
    x = 1,031,500.12

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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.