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Finding the Third Proportional to 229,180 and 497,672

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Solution

The third proportional to 229,180 and 497,672 is: 1,080,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,180 : 497,672 = 497,672 : x
  2. Step 2: Convert to fraction form
    229,180/497,672 = 497,672/x
  3. Step 3: Cross multiply
    229,180x = 497,672 × 497,672
  4. Step 4: Simplify right side
    229,180x = 247,677,419,584
  5. Step 5: Solve for x
    x = 247,677,419,584/229,180
  6. Step 6: Final answer
    x = 1,080,711.32

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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.