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Finding the Third Proportional to 354,632.25 and 532,302.75

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Solution

The third proportional to 354,632.25 and 532,302.75 is: 798,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,632.25 : 532,302.75 = 532,302.75 : x
  2. Step 2: Convert to fraction form
    354,632.25/532,302.75 = 532,302.75/x
  3. Step 3: Cross multiply
    354,632.25x = 532,302.75 × 532,302.75
  4. Step 4: Simplify right side
    354,632.25x = 283,346,217,657.56
  5. Step 5: Solve for x
    x = 283,346,217,657.56/354,632.25
  6. Step 6: Final answer
    x = 798,986.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.