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Finding the Third Proportional to 632,318 and 964,233

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Solution

The third proportional to 632,318 and 964,233 is: 1,470,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,318 : 964,233 = 964,233 : x
  2. Step 2: Convert to fraction form
    632,318/964,233 = 964,233/x
  3. Step 3: Cross multiply
    632,318x = 964,233 × 964,233
  4. Step 4: Simplify right side
    632,318x = 929,745,278,289
  5. Step 5: Solve for x
    x = 929,745,278,289/632,318
  6. Step 6: Final answer
    x = 1,470,376.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.