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Finding the Third Proportional to 224,392 and 486,170

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Solution

The third proportional to 224,392 and 486,170 is: 1,053,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,392 : 486,170 = 486,170 : x
  2. Step 2: Convert to fraction form
    224,392/486,170 = 486,170/x
  3. Step 3: Cross multiply
    224,392x = 486,170 × 486,170
  4. Step 4: Simplify right side
    224,392x = 236,361,268,900
  5. Step 5: Solve for x
    x = 236,361,268,900/224,392
  6. Step 6: Final answer
    x = 1,053,340.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.