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Finding the Third Proportional to 632,134.13 and 969,296.63

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Solution

The third proportional to 632,134.13 and 969,296.63 is: 1,486,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,134.13 : 969,296.63 = 969,296.63 : x
  2. Step 2: Convert to fraction form
    632,134.13/969,296.63 = 969,296.63/x
  3. Step 3: Cross multiply
    632,134.13x = 969,296.63 × 969,296.63
  4. Step 4: Simplify right side
    632,134.13x = 939,535,947,236.39
  5. Step 5: Solve for x
    x = 939,535,947,236.39/632,134.13
  6. Step 6: Final answer
    x = 1,486,292.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.