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Finding the Third Proportional to 291,987 and 629,550

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Solution

The third proportional to 291,987 and 629,550 is: 1,357,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,987 : 629,550 = 629,550 : x
  2. Step 2: Convert to fraction form
    291,987/629,550 = 629,550/x
  3. Step 3: Cross multiply
    291,987x = 629,550 × 629,550
  4. Step 4: Simplify right side
    291,987x = 396,333,202,500
  5. Step 5: Solve for x
    x = 396,333,202,500/291,987
  6. Step 6: Final answer
    x = 1,357,365.92

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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.