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Finding the Third Proportional to 219,217.50 and 471,069.38

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Solution

The third proportional to 219,217.50 and 471,069.38 is: 1,012,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,217.50 : 471,069.38 = 471,069.38 : x
  2. Step 2: Convert to fraction form
    219,217.50/471,069.38 = 471,069.38/x
  3. Step 3: Cross multiply
    219,217.50x = 471,069.38 × 471,069.38
  4. Step 4: Simplify right side
    219,217.50x = 221,906,356,062.89
  5. Step 5: Solve for x
    x = 221,906,356,062.89/219,217.50
  6. Step 6: Final answer
    x = 1,012,265.70

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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.