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Finding the Third Proportional to 291,234 and 441,361

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Solution

The third proportional to 291,234 and 441,361 is: 668,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,234 : 441,361 = 441,361 : x
  2. Step 2: Convert to fraction form
    291,234/441,361 = 441,361/x
  3. Step 3: Cross multiply
    291,234x = 441,361 × 441,361
  4. Step 4: Simplify right side
    291,234x = 194,799,532,321
  5. Step 5: Solve for x
    x = 194,799,532,321/291,234
  6. Step 6: Final answer
    x = 668,876.34

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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.