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Finding the Third Proportional to 632,304 and 964,512

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Solution

The third proportional to 632,304 and 964,512 is: 1,471,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,304 : 964,512 = 964,512 : x
  2. Step 2: Convert to fraction form
    632,304/964,512 = 964,512/x
  3. Step 3: Cross multiply
    632,304x = 964,512 × 964,512
  4. Step 4: Simplify right side
    632,304x = 930,283,398,144
  5. Step 5: Solve for x
    x = 930,283,398,144/632,304
  6. Step 6: Final answer
    x = 1,471,259.71

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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.