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Finding the Third Proportional to 230,481 and 502,988

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Solution

The third proportional to 230,481 and 502,988 is: 1,097,691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,481 : 502,988 = 502,988 : x
  2. Step 2: Convert to fraction form
    230,481/502,988 = 502,988/x
  3. Step 3: Cross multiply
    230,481x = 502,988 × 502,988
  4. Step 4: Simplify right side
    230,481x = 252,996,928,144
  5. Step 5: Solve for x
    x = 252,996,928,144/230,481
  6. Step 6: Final answer
    x = 1,097,691.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.