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Finding the Third Proportional to 512,272.69 and 791,506.69

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Solution

The third proportional to 512,272.69 and 791,506.69 is: 1,222,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,272.69 : 791,506.69 = 791,506.69 : x
  2. Step 2: Convert to fraction form
    512,272.69/791,506.69 = 791,506.69/x
  3. Step 3: Cross multiply
    512,272.69x = 791,506.69 × 791,506.69
  4. Step 4: Simplify right side
    512,272.69x = 626,482,836,357.22
  5. Step 5: Solve for x
    x = 626,482,836,357.22/512,272.69
  6. Step 6: Final answer
    x = 1,222,947.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.