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Finding the Third Proportional to 632,276 and 969,464

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Solution

The third proportional to 632,276 and 969,464 is: 1,486,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,276 : 969,464 = 969,464 : x
  2. Step 2: Convert to fraction form
    632,276/969,464 = 969,464/x
  3. Step 3: Cross multiply
    632,276x = 969,464 × 969,464
  4. Step 4: Simplify right side
    632,276x = 939,860,447,296
  5. Step 5: Solve for x
    x = 939,860,447,296/632,276
  6. Step 6: Final answer
    x = 1,486,471.81

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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.