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Finding the Third Proportional to 225,656 and 482,416

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Solution

The third proportional to 225,656 and 482,416 is: 1,031,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,656 : 482,416 = 482,416 : x
  2. Step 2: Convert to fraction form
    225,656/482,416 = 482,416/x
  3. Step 3: Cross multiply
    225,656x = 482,416 × 482,416
  4. Step 4: Simplify right side
    225,656x = 232,725,197,056
  5. Step 5: Solve for x
    x = 232,725,197,056/225,656
  6. Step 6: Final answer
    x = 1,031,327.32

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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.