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Finding the Third Proportional to 380,694 and 535,626.75

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Solution

The third proportional to 380,694 and 535,626.75 is: 753,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,694 : 535,626.75 = 535,626.75 : x
  2. Step 2: Convert to fraction form
    380,694/535,626.75 = 535,626.75/x
  3. Step 3: Cross multiply
    380,694x = 535,626.75 × 535,626.75
  4. Step 4: Simplify right side
    380,694x = 286,896,015,315.56
  5. Step 5: Solve for x
    x = 286,896,015,315.56/380,694
  6. Step 6: Final answer
    x = 753,613.18

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.