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Finding the Third Proportional to 372,065 and 557,269

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Solution

The third proportional to 372,065 and 557,269 is: 834,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,065 : 557,269 = 557,269 : x
  2. Step 2: Convert to fraction form
    372,065/557,269 = 557,269/x
  3. Step 3: Cross multiply
    372,065x = 557,269 × 557,269
  4. Step 4: Simplify right side
    372,065x = 310,548,738,361
  5. Step 5: Solve for x
    x = 310,548,738,361/372,065
  6. Step 6: Final answer
    x = 834,662.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.