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Finding the Third Proportional to 215,535.50 and 468,378

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Solution

The third proportional to 215,535.50 and 468,378 is: 1,017,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,535.50 : 468,378 = 468,378 : x
  2. Step 2: Convert to fraction form
    215,535.50/468,378 = 468,378/x
  3. Step 3: Cross multiply
    215,535.50x = 468,378 × 468,378
  4. Step 4: Simplify right side
    215,535.50x = 219,377,950,884
  5. Step 5: Solve for x
    x = 219,377,950,884/215,535.50
  6. Step 6: Final answer
    x = 1,017,827.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.