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Finding the Third Proportional to 217,385 and 464,620.50

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Solution

The third proportional to 217,385 and 464,620.50 is: 993,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,385 : 464,620.50 = 464,620.50 : x
  2. Step 2: Convert to fraction form
    217,385/464,620.50 = 464,620.50/x
  3. Step 3: Cross multiply
    217,385x = 464,620.50 × 464,620.50
  4. Step 4: Simplify right side
    217,385x = 215,872,209,020.25
  5. Step 5: Solve for x
    x = 215,872,209,020.25/217,385
  6. Step 6: Final answer
    x = 993,040.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.