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Finding the Third Proportional to 229,785 and 498,800

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Solution

The third proportional to 229,785 and 498,800 is: 1,082,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,785 : 498,800 = 498,800 : x
  2. Step 2: Convert to fraction form
    229,785/498,800 = 498,800/x
  3. Step 3: Cross multiply
    229,785x = 498,800 × 498,800
  4. Step 4: Simplify right side
    229,785x = 248,801,440,000
  5. Step 5: Solve for x
    x = 248,801,440,000/229,785
  6. Step 6: Final answer
    x = 1,082,757.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.