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Finding the Third Proportional to 229,932 and 502,452

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Solution

The third proportional to 229,932 and 502,452 is: 1,097,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,932 : 502,452 = 502,452 : x
  2. Step 2: Convert to fraction form
    229,932/502,452 = 502,452/x
  3. Step 3: Cross multiply
    229,932x = 502,452 × 502,452
  4. Step 4: Simplify right side
    229,932x = 252,458,012,304
  5. Step 5: Solve for x
    x = 252,458,012,304/229,932
  6. Step 6: Final answer
    x = 1,097,968.15

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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.