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Finding the Third Proportional to 215,524.13 and 468,355.50

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Solution

The third proportional to 215,524.13 and 468,355.50 is: 1,017,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,524.13 : 468,355.50 = 468,355.50 : x
  2. Step 2: Convert to fraction form
    215,524.13/468,355.50 = 468,355.50/x
  3. Step 3: Cross multiply
    215,524.13x = 468,355.50 × 468,355.50
  4. Step 4: Simplify right side
    215,524.13x = 219,356,874,380.25
  5. Step 5: Solve for x
    x = 219,356,874,380.25/215,524.13
  6. Step 6: Final answer
    x = 1,017,783.39

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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.