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Finding the Third Proportional to 327,488 and 499,980

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Solution

The third proportional to 327,488 and 499,980 is: 763,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,488 : 499,980 = 499,980 : x
  2. Step 2: Convert to fraction form
    327,488/499,980 = 499,980/x
  3. Step 3: Cross multiply
    327,488x = 499,980 × 499,980
  4. Step 4: Simplify right side
    327,488x = 249,980,000,400
  5. Step 5: Solve for x
    x = 249,980,000,400/327,488
  6. Step 6: Final answer
    x = 763,325.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.