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Finding the Third Proportional to 352,685.25 and 532,311.75

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Solution

The third proportional to 352,685.25 and 532,311.75 is: 803,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,685.25 : 532,311.75 = 532,311.75 : x
  2. Step 2: Convert to fraction form
    352,685.25/532,311.75 = 532,311.75/x
  3. Step 3: Cross multiply
    352,685.25x = 532,311.75 × 532,311.75
  4. Step 4: Simplify right side
    352,685.25x = 283,355,799,188.06
  5. Step 5: Solve for x
    x = 283,355,799,188.06/352,685.25
  6. Step 6: Final answer
    x = 803,424.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.