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Finding the Third Proportional to 229,968.18 and 502,839.14

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Solution

The third proportional to 229,968.18 and 502,839.14 is: 1,099,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,968.18 : 502,839.14 = 502,839.14 : x
  2. Step 2: Convert to fraction form
    229,968.18/502,839.14 = 502,839.14/x
  3. Step 3: Cross multiply
    229,968.18x = 502,839.14 × 502,839.14
  4. Step 4: Simplify right side
    229,968.18x = 252,847,201,344.49
  5. Step 5: Solve for x
    x = 252,847,201,344.49/229,968.18
  6. Step 6: Final answer
    x = 1,099,487.79

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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.