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Finding the Third Proportional to 632,286 and 969,480

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Solution

The third proportional to 632,286 and 969,480 is: 1,486,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,286 : 969,480 = 969,480 : x
  2. Step 2: Convert to fraction form
    632,286/969,480 = 969,480/x
  3. Step 3: Cross multiply
    632,286x = 969,480 × 969,480
  4. Step 4: Simplify right side
    632,286x = 939,891,470,400
  5. Step 5: Solve for x
    x = 939,891,470,400/632,286
  6. Step 6: Final answer
    x = 1,486,497.36

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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.