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Finding the Third Proportional to 595,131.75 and 905,154.75

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Solution

The third proportional to 595,131.75 and 905,154.75 is: 1,376,678.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,131.75 : 905,154.75 = 905,154.75 : x
  2. Step 2: Convert to fraction form
    595,131.75/905,154.75 = 905,154.75/x
  3. Step 3: Cross multiply
    595,131.75x = 905,154.75 × 905,154.75
  4. Step 4: Simplify right side
    595,131.75x = 819,305,121,447.56
  5. Step 5: Solve for x
    x = 819,305,121,447.56/595,131.75
  6. Step 6: Final answer
    x = 1,376,678.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.