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Finding the Third Proportional to 232,968.66 and 502,637.91

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Solution

The third proportional to 232,968.66 and 502,637.91 is: 1,084,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,968.66 : 502,637.91 = 502,637.91 : x
  2. Step 2: Convert to fraction form
    232,968.66/502,637.91 = 502,637.91/x
  3. Step 3: Cross multiply
    232,968.66x = 502,637.91 × 502,637.91
  4. Step 4: Simplify right side
    232,968.66x = 252,644,864,799.38
  5. Step 5: Solve for x
    x = 252,644,864,799.38/232,968.66
  6. Step 6: Final answer
    x = 1,084,458.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.