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Finding the Third Proportional to 315,835.88 and 485,952.75

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Solution

The third proportional to 315,835.88 and 485,952.75 is: 747,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,835.88 : 485,952.75 = 485,952.75 : x
  2. Step 2: Convert to fraction form
    315,835.88/485,952.75 = 485,952.75/x
  3. Step 3: Cross multiply
    315,835.88x = 485,952.75 × 485,952.75
  4. Step 4: Simplify right side
    315,835.88x = 236,150,075,232.56
  5. Step 5: Solve for x
    x = 236,150,075,232.56/315,835.88
  6. Step 6: Final answer
    x = 747,698.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.