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Finding the Third Proportional to 229,924 and 502,612

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Solution

The third proportional to 229,924 and 502,612 is: 1,098,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,924 : 502,612 = 502,612 : x
  2. Step 2: Convert to fraction form
    229,924/502,612 = 502,612/x
  3. Step 3: Cross multiply
    229,924x = 502,612 × 502,612
  4. Step 4: Simplify right side
    229,924x = 252,618,822,544
  5. Step 5: Solve for x
    x = 252,618,822,544/229,924
  6. Step 6: Final answer
    x = 1,098,705.76

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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.