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Finding the Third Proportional to 331,258.50 and 516,570.75

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Solution

The third proportional to 331,258.50 and 516,570.75 is: 805,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,258.50 : 516,570.75 = 516,570.75 : x
  2. Step 2: Convert to fraction form
    331,258.50/516,570.75 = 516,570.75/x
  3. Step 3: Cross multiply
    331,258.50x = 516,570.75 × 516,570.75
  4. Step 4: Simplify right side
    331,258.50x = 266,845,339,755.56
  5. Step 5: Solve for x
    x = 266,845,339,755.56/331,258.50
  6. Step 6: Final answer
    x = 805,550.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.