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Finding the Third Proportional to 763,117.50 and 1,180,578.75

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Solution

The third proportional to 763,117.50 and 1,180,578.75 is: 1,826,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,117.50 : 1,180,578.75 = 1,180,578.75 : x
  2. Step 2: Convert to fraction form
    763,117.50/1,180,578.75 = 1,180,578.75/x
  3. Step 3: Cross multiply
    763,117.50x = 1,180,578.75 × 1,180,578.75
  4. Step 4: Simplify right side
    763,117.50x = 1,393,766,184,951.56
  5. Step 5: Solve for x
    x = 1,393,766,184,951.56/763,117.50
  6. Step 6: Final answer
    x = 1,826,410.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.