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Finding the Third Proportional to 230,247 and 499,122

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Solution

The third proportional to 230,247 and 499,122 is: 1,081,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,247 : 499,122 = 499,122 : x
  2. Step 2: Convert to fraction form
    230,247/499,122 = 499,122/x
  3. Step 3: Cross multiply
    230,247x = 499,122 × 499,122
  4. Step 4: Simplify right side
    230,247x = 249,122,770,884
  5. Step 5: Solve for x
    x = 249,122,770,884/230,247
  6. Step 6: Final answer
    x = 1,081,980.53

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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.