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Finding the Third Proportional to 508,515.75 and 769,339.13

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Solution

The third proportional to 508,515.75 and 769,339.13 is: 1,163,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,515.75 : 769,339.13 = 769,339.13 : x
  2. Step 2: Convert to fraction form
    508,515.75/769,339.13 = 769,339.13/x
  3. Step 3: Cross multiply
    508,515.75x = 769,339.13 × 769,339.13
  4. Step 4: Simplify right side
    508,515.75x = 591,882,689,255.77
  5. Step 5: Solve for x
    x = 591,882,689,255.77/508,515.75
  6. Step 6: Final answer
    x = 1,163,941.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.