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Finding the Third Proportional to 362,109.75 and 532,080.75

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Solution

The third proportional to 362,109.75 and 532,080.75 is: 781,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,109.75 : 532,080.75 = 532,080.75 : x
  2. Step 2: Convert to fraction form
    362,109.75/532,080.75 = 532,080.75/x
  3. Step 3: Cross multiply
    362,109.75x = 532,080.75 × 532,080.75
  4. Step 4: Simplify right side
    362,109.75x = 283,109,924,520.56
  5. Step 5: Solve for x
    x = 283,109,924,520.56/362,109.75
  6. Step 6: Final answer
    x = 781,834.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.