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Finding the Third Proportional to 225,776 and 482,656

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Solution

The third proportional to 225,776 and 482,656 is: 1,031,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,776 : 482,656 = 482,656 : x
  2. Step 2: Convert to fraction form
    225,776/482,656 = 482,656/x
  3. Step 3: Cross multiply
    225,776x = 482,656 × 482,656
  4. Step 4: Simplify right side
    225,776x = 232,956,814,336
  5. Step 5: Solve for x
    x = 232,956,814,336/225,776
  6. Step 6: Final answer
    x = 1,031,805.04

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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.