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Finding the Third Proportional to 217,354 and 466,842.50

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Solution

The third proportional to 217,354 and 466,842.50 is: 1,002,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,354 : 466,842.50 = 466,842.50 : x
  2. Step 2: Convert to fraction form
    217,354/466,842.50 = 466,842.50/x
  3. Step 3: Cross multiply
    217,354x = 466,842.50 × 466,842.50
  4. Step 4: Simplify right side
    217,354x = 217,941,919,806.25
  5. Step 5: Solve for x
    x = 217,941,919,806.25/217,354
  6. Step 6: Final answer
    x = 1,002,704.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.