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Finding the Third Proportional to 482,919 and 655,867.50

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Solution

The third proportional to 482,919 and 655,867.50 is: 890,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,919 : 655,867.50 = 655,867.50 : x
  2. Step 2: Convert to fraction form
    482,919/655,867.50 = 655,867.50/x
  3. Step 3: Cross multiply
    482,919x = 655,867.50 × 655,867.50
  4. Step 4: Simplify right side
    482,919x = 430,162,177,556.25
  5. Step 5: Solve for x
    x = 430,162,177,556.25/482,919
  6. Step 6: Final answer
    x = 890,754.30

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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.