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Finding the Third Proportional to 229,962 and 502,674

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Solution

The third proportional to 229,962 and 502,674 is: 1,098,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,962 : 502,674 = 502,674 : x
  2. Step 2: Convert to fraction form
    229,962/502,674 = 502,674/x
  3. Step 3: Cross multiply
    229,962x = 502,674 × 502,674
  4. Step 4: Simplify right side
    229,962x = 252,681,150,276
  5. Step 5: Solve for x
    x = 252,681,150,276/229,962
  6. Step 6: Final answer
    x = 1,098,795.24

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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.