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Finding the Third Proportional to 215,464.50 and 468,240.75

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Solution

The third proportional to 215,464.50 and 468,240.75 is: 1,017,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,464.50 : 468,240.75 = 468,240.75 : x
  2. Step 2: Convert to fraction form
    215,464.50/468,240.75 = 468,240.75/x
  3. Step 3: Cross multiply
    215,464.50x = 468,240.75 × 468,240.75
  4. Step 4: Simplify right side
    215,464.50x = 219,249,399,960.56
  5. Step 5: Solve for x
    x = 219,249,399,960.56/215,464.50
  6. Step 6: Final answer
    x = 1,017,566.23

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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.