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Finding the Third Proportional to 230,677 and 499,250

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Solution

The third proportional to 230,677 and 499,250 is: 1,080,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,677 : 499,250 = 499,250 : x
  2. Step 2: Convert to fraction form
    230,677/499,250 = 499,250/x
  3. Step 3: Cross multiply
    230,677x = 499,250 × 499,250
  4. Step 4: Simplify right side
    230,677x = 249,250,562,500
  5. Step 5: Solve for x
    x = 249,250,562,500/230,677
  6. Step 6: Final answer
    x = 1,080,517.62

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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.