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Finding the Third Proportional to 499,114.41 and 772,147.69

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Solution

The third proportional to 499,114.41 and 772,147.69 is: 1,194,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,114.41 : 772,147.69 = 772,147.69 : x
  2. Step 2: Convert to fraction form
    499,114.41/772,147.69 = 772,147.69/x
  3. Step 3: Cross multiply
    499,114.41x = 772,147.69 × 772,147.69
  4. Step 4: Simplify right side
    499,114.41x = 596,212,051,311.60
  5. Step 5: Solve for x
    x = 596,212,051,311.60/499,114.41
  6. Step 6: Final answer
    x = 1,194,539.86

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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.