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Finding the Third Proportional to 632,192 and 969,418

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Solution

The third proportional to 632,192 and 969,418 is: 1,486,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,192 : 969,418 = 969,418 : x
  2. Step 2: Convert to fraction form
    632,192/969,418 = 969,418/x
  3. Step 3: Cross multiply
    632,192x = 969,418 × 969,418
  4. Step 4: Simplify right side
    632,192x = 939,771,258,724
  5. Step 5: Solve for x
    x = 939,771,258,724/632,192
  6. Step 6: Final answer
    x = 1,486,528.24

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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.