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Finding the Third Proportional to 296,767 and 628,846

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Solution

The third proportional to 296,767 and 628,846 is: 1,332,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,767 : 628,846 = 628,846 : x
  2. Step 2: Convert to fraction form
    296,767/628,846 = 628,846/x
  3. Step 3: Cross multiply
    296,767x = 628,846 × 628,846
  4. Step 4: Simplify right side
    296,767x = 395,447,291,716
  5. Step 5: Solve for x
    x = 395,447,291,716/296,767
  6. Step 6: Final answer
    x = 1,332,517.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.