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Finding the Third Proportional to 331,715 and 499,962

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Solution

The third proportional to 331,715 and 499,962 is: 753,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,715 : 499,962 = 499,962 : x
  2. Step 2: Convert to fraction form
    331,715/499,962 = 499,962/x
  3. Step 3: Cross multiply
    331,715x = 499,962 × 499,962
  4. Step 4: Simplify right side
    331,715x = 249,962,001,444
  5. Step 5: Solve for x
    x = 249,962,001,444/331,715
  6. Step 6: Final answer
    x = 753,544.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.