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Finding the Third Proportional to 296,589 and 614,217

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Solution

The third proportional to 296,589 and 614,217 is: 1,272,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,589 : 614,217 = 614,217 : x
  2. Step 2: Convert to fraction form
    296,589/614,217 = 614,217/x
  3. Step 3: Cross multiply
    296,589x = 614,217 × 614,217
  4. Step 4: Simplify right side
    296,589x = 377,262,523,089
  5. Step 5: Solve for x
    x = 377,262,523,089/296,589
  6. Step 6: Final answer
    x = 1,272,004.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.