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Finding the Third Proportional to 291,982 and 629,540

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Solution

The third proportional to 291,982 and 629,540 is: 1,357,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,982 : 629,540 = 629,540 : x
  2. Step 2: Convert to fraction form
    291,982/629,540 = 629,540/x
  3. Step 3: Cross multiply
    291,982x = 629,540 × 629,540
  4. Step 4: Simplify right side
    291,982x = 396,320,611,600
  5. Step 5: Solve for x
    x = 396,320,611,600/291,982
  6. Step 6: Final answer
    x = 1,357,346.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.