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Finding the Third Proportional to 222,134 and 487,498

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Solution

The third proportional to 222,134 and 487,498 is: 1,069,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,134 : 487,498 = 487,498 : x
  2. Step 2: Convert to fraction form
    222,134/487,498 = 487,498/x
  3. Step 3: Cross multiply
    222,134x = 487,498 × 487,498
  4. Step 4: Simplify right side
    222,134x = 237,654,300,004
  5. Step 5: Solve for x
    x = 237,654,300,004/222,134
  6. Step 6: Final answer
    x = 1,069,869.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.