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Finding the Third Proportional to 229,424 and 502,908

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Solution

The third proportional to 229,424 and 502,908 is: 1,102,397.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,424 : 502,908 = 502,908 : x
  2. Step 2: Convert to fraction form
    229,424/502,908 = 502,908/x
  3. Step 3: Cross multiply
    229,424x = 502,908 × 502,908
  4. Step 4: Simplify right side
    229,424x = 252,916,456,464
  5. Step 5: Solve for x
    x = 252,916,456,464/229,424
  6. Step 6: Final answer
    x = 1,102,397.55

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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.