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Finding the Third Proportional to 632,341 and 964,329

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Solution

The third proportional to 632,341 and 964,329 is: 1,470,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,341 : 964,329 = 964,329 : x
  2. Step 2: Convert to fraction form
    632,341/964,329 = 964,329/x
  3. Step 3: Cross multiply
    632,341x = 964,329 × 964,329
  4. Step 4: Simplify right side
    632,341x = 929,930,420,241
  5. Step 5: Solve for x
    x = 929,930,420,241/632,341
  6. Step 6: Final answer
    x = 1,470,615.41

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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.