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Finding the Third Proportional to 468,754.50 and 663,720

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Solution

The third proportional to 468,754.50 and 663,720 is: 939,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,754.50 : 663,720 = 663,720 : x
  2. Step 2: Convert to fraction form
    468,754.50/663,720 = 663,720/x
  3. Step 3: Cross multiply
    468,754.50x = 663,720 × 663,720
  4. Step 4: Simplify right side
    468,754.50x = 440,524,238,400
  5. Step 5: Solve for x
    x = 440,524,238,400/468,754.50
  6. Step 6: Final answer
    x = 939,776.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.