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Finding the Third Proportional to 229,971 and 502,692

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Solution

The third proportional to 229,971 and 502,692 is: 1,098,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,971 : 502,692 = 502,692 : x
  2. Step 2: Convert to fraction form
    229,971/502,692 = 502,692/x
  3. Step 3: Cross multiply
    229,971x = 502,692 × 502,692
  4. Step 4: Simplify right side
    229,971x = 252,699,246,864
  5. Step 5: Solve for x
    x = 252,699,246,864/229,971
  6. Step 6: Final answer
    x = 1,098,830.93

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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.