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Finding the Third Proportional to 212,581.50 and 466,630.50

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Solution

The third proportional to 212,581.50 and 466,630.50 is: 1,024,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,581.50 : 466,630.50 = 466,630.50 : x
  2. Step 2: Convert to fraction form
    212,581.50/466,630.50 = 466,630.50/x
  3. Step 3: Cross multiply
    212,581.50x = 466,630.50 × 466,630.50
  4. Step 4: Simplify right side
    212,581.50x = 217,744,023,530.25
  5. Step 5: Solve for x
    x = 217,744,023,530.25/212,581.50
  6. Step 6: Final answer
    x = 1,024,284.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.