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Finding the Third Proportional to 452,065.50 and 613,962

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Solution

The third proportional to 452,065.50 and 613,962 is: 833,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,065.50 : 613,962 = 613,962 : x
  2. Step 2: Convert to fraction form
    452,065.50/613,962 = 613,962/x
  3. Step 3: Cross multiply
    452,065.50x = 613,962 × 613,962
  4. Step 4: Simplify right side
    452,065.50x = 376,949,337,444
  5. Step 5: Solve for x
    x = 376,949,337,444/452,065.50
  6. Step 6: Final answer
    x = 833,837.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.