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Finding the Third Proportional to 215,605.50 and 458,821.50

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Solution

The third proportional to 215,605.50 and 458,821.50 is: 976,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,605.50 : 458,821.50 = 458,821.50 : x
  2. Step 2: Convert to fraction form
    215,605.50/458,821.50 = 458,821.50/x
  3. Step 3: Cross multiply
    215,605.50x = 458,821.50 × 458,821.50
  4. Step 4: Simplify right side
    215,605.50x = 210,517,168,862.25
  5. Step 5: Solve for x
    x = 210,517,168,862.25/215,605.50
  6. Step 6: Final answer
    x = 976,399.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.