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Finding the Third Proportional to 508,578.75 and 769,422.38

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Solution

The third proportional to 508,578.75 and 769,422.38 is: 1,164,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,578.75 : 769,422.38 = 769,422.38 : x
  2. Step 2: Convert to fraction form
    508,578.75/769,422.38 = 769,422.38/x
  3. Step 3: Cross multiply
    508,578.75x = 769,422.38 × 769,422.38
  4. Step 4: Simplify right side
    508,578.75x = 592,010,791,150.64
  5. Step 5: Solve for x
    x = 592,010,791,150.64/508,578.75
  6. Step 6: Final answer
    x = 1,164,049.40

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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.