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Finding the Third Proportional to 322,717.50 and 431,032.50

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Solution

The third proportional to 322,717.50 and 431,032.50 is: 575,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,717.50 : 431,032.50 = 431,032.50 : x
  2. Step 2: Convert to fraction form
    322,717.50/431,032.50 = 431,032.50/x
  3. Step 3: Cross multiply
    322,717.50x = 431,032.50 × 431,032.50
  4. Step 4: Simplify right side
    322,717.50x = 185,789,016,056.25
  5. Step 5: Solve for x
    x = 185,789,016,056.25/322,717.50
  6. Step 6: Final answer
    x = 575,701.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.