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Finding the Third Proportional to 240,350.25 and 377,024.63

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Solution

The third proportional to 240,350.25 and 377,024.63 is: 591,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,350.25 : 377,024.63 = 377,024.63 : x
  2. Step 2: Convert to fraction form
    240,350.25/377,024.63 = 377,024.63/x
  3. Step 3: Cross multiply
    240,350.25x = 377,024.63 × 377,024.63
  4. Step 4: Simplify right side
    240,350.25x = 142,147,567,856.39
  5. Step 5: Solve for x
    x = 142,147,567,856.39/240,350.25
  6. Step 6: Final answer
    x = 591,418.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.