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Finding the Third Proportional to 291,232 and 441,359

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Solution

The third proportional to 291,232 and 441,359 is: 668,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,232 : 441,359 = 441,359 : x
  2. Step 2: Convert to fraction form
    291,232/441,359 = 441,359/x
  3. Step 3: Cross multiply
    291,232x = 441,359 × 441,359
  4. Step 4: Simplify right side
    291,232x = 194,797,766,881
  5. Step 5: Solve for x
    x = 194,797,766,881/291,232
  6. Step 6: Final answer
    x = 668,874.87

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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.