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Finding the Third Proportional to 496,444.50 and 767,132.75

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Solution

The third proportional to 496,444.50 and 767,132.75 is: 1,185,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,444.50 : 767,132.75 = 767,132.75 : x
  2. Step 2: Convert to fraction form
    496,444.50/767,132.75 = 767,132.75/x
  3. Step 3: Cross multiply
    496,444.50x = 767,132.75 × 767,132.75
  4. Step 4: Simplify right side
    496,444.50x = 588,492,656,122.56
  5. Step 5: Solve for x
    x = 588,492,656,122.56/496,444.50
  6. Step 6: Final answer
    x = 1,185,414.80

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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.