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Finding the Third Proportional to 230,652 and 499,212

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Solution

The third proportional to 230,652 and 499,212 is: 1,080,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,652 : 499,212 = 499,212 : x
  2. Step 2: Convert to fraction form
    230,652/499,212 = 499,212/x
  3. Step 3: Cross multiply
    230,652x = 499,212 × 499,212
  4. Step 4: Simplify right side
    230,652x = 249,212,620,944
  5. Step 5: Solve for x
    x = 249,212,620,944/230,652
  6. Step 6: Final answer
    x = 1,080,470.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.