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Finding the Third Proportional to 229,928 and 487,600

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Solution

The third proportional to 229,928 and 487,600 is: 1,034,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,928 : 487,600 = 487,600 : x
  2. Step 2: Convert to fraction form
    229,928/487,600 = 487,600/x
  3. Step 3: Cross multiply
    229,928x = 487,600 × 487,600
  4. Step 4: Simplify right side
    229,928x = 237,753,760,000
  5. Step 5: Solve for x
    x = 237,753,760,000/229,928
  6. Step 6: Final answer
    x = 1,034,035.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.