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Finding the Third Proportional to 245,217.38 and 547,843.50

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Solution

The third proportional to 245,217.38 and 547,843.50 is: 1,223,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,217.38 : 547,843.50 = 547,843.50 : x
  2. Step 2: Convert to fraction form
    245,217.38/547,843.50 = 547,843.50/x
  3. Step 3: Cross multiply
    245,217.38x = 547,843.50 × 547,843.50
  4. Step 4: Simplify right side
    245,217.38x = 300,132,500,492.25
  5. Step 5: Solve for x
    x = 300,132,500,492.25/245,217.38
  6. Step 6: Final answer
    x = 1,223,944.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.