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Finding the Third Proportional to 291,132 and 441,950

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Solution

The third proportional to 291,132 and 441,950 is: 670,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,132 : 441,950 = 441,950 : x
  2. Step 2: Convert to fraction form
    291,132/441,950 = 441,950/x
  3. Step 3: Cross multiply
    291,132x = 441,950 × 441,950
  4. Step 4: Simplify right side
    291,132x = 195,319,802,500
  5. Step 5: Solve for x
    x = 195,319,802,500/291,132
  6. Step 6: Final answer
    x = 670,897.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.