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Finding the Third Proportional to 229,350 and 490,089

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Solution

The third proportional to 229,350 and 490,089 is: 1,047,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,350 : 490,089 = 490,089 : x
  2. Step 2: Convert to fraction form
    229,350/490,089 = 490,089/x
  3. Step 3: Cross multiply
    229,350x = 490,089 × 490,089
  4. Step 4: Simplify right side
    229,350x = 240,187,227,921
  5. Step 5: Solve for x
    x = 240,187,227,921/229,350
  6. Step 6: Final answer
    x = 1,047,251.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.