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Finding the Third Proportional to 225,309 and 482,602

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Solution

The third proportional to 225,309 and 482,602 is: 1,033,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,309 : 482,602 = 482,602 : x
  2. Step 2: Convert to fraction form
    225,309/482,602 = 482,602/x
  3. Step 3: Cross multiply
    225,309x = 482,602 × 482,602
  4. Step 4: Simplify right side
    225,309x = 232,904,690,404
  5. Step 5: Solve for x
    x = 232,904,690,404/225,309
  6. Step 6: Final answer
    x = 1,033,712.33

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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.