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Finding the Third Proportional to 632,336 and 964,560

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Solution

The third proportional to 632,336 and 964,560 is: 1,471,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,336 : 964,560 = 964,560 : x
  2. Step 2: Convert to fraction form
    632,336/964,560 = 964,560/x
  3. Step 3: Cross multiply
    632,336x = 964,560 × 964,560
  4. Step 4: Simplify right side
    632,336x = 930,375,993,600
  5. Step 5: Solve for x
    x = 930,375,993,600/632,336
  6. Step 6: Final answer
    x = 1,471,331.69

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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.