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Finding the Third Proportional to 360,510.75 and 769,272.75

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Solution

The third proportional to 360,510.75 and 769,272.75 is: 1,641,506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,510.75 : 769,272.75 = 769,272.75 : x
  2. Step 2: Convert to fraction form
    360,510.75/769,272.75 = 769,272.75/x
  3. Step 3: Cross multiply
    360,510.75x = 769,272.75 × 769,272.75
  4. Step 4: Simplify right side
    360,510.75x = 591,780,563,892.56
  5. Step 5: Solve for x
    x = 591,780,563,892.56/360,510.75
  6. Step 6: Final answer
    x = 1,641,506.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.