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Finding the Third Proportional to 337,883.25 and 600,645

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Solution

The third proportional to 337,883.25 and 600,645 is: 1,067,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,883.25 : 600,645 = 600,645 : x
  2. Step 2: Convert to fraction form
    337,883.25/600,645 = 600,645/x
  3. Step 3: Cross multiply
    337,883.25x = 600,645 × 600,645
  4. Step 4: Simplify right side
    337,883.25x = 360,774,416,025
  5. Step 5: Solve for x
    x = 360,774,416,025/337,883.25
  6. Step 6: Final answer
    x = 1,067,748.74

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.