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Finding the Third Proportional to 360,558.84 and 769,385.46

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Solution

The third proportional to 360,558.84 and 769,385.46 is: 1,641,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,558.84 : 769,385.46 = 769,385.46 : x
  2. Step 2: Convert to fraction form
    360,558.84/769,385.46 = 769,385.46/x
  3. Step 3: Cross multiply
    360,558.84x = 769,385.46 × 769,385.46
  4. Step 4: Simplify right side
    360,558.84x = 591,953,987,502.01
  5. Step 5: Solve for x
    x = 591,953,987,502.01/360,558.84
  6. Step 6: Final answer
    x = 1,641,768.04

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