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Finding the Third Proportional to 360,784.13 and 485,952.75

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Solution

The third proportional to 360,784.13 and 485,952.75 is: 654,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,784.13 : 485,952.75 = 485,952.75 : x
  2. Step 2: Convert to fraction form
    360,784.13/485,952.75 = 485,952.75/x
  3. Step 3: Cross multiply
    360,784.13x = 485,952.75 × 485,952.75
  4. Step 4: Simplify right side
    360,784.13x = 236,150,075,232.56
  5. Step 5: Solve for x
    x = 236,150,075,232.56/360,784.13
  6. Step 6: Final answer
    x = 654,546.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.