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Finding the Third Proportional to 496,443.94 and 767,133.28

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Solution

The third proportional to 496,443.94 and 767,133.28 is: 1,185,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,443.94 : 767,133.28 = 767,133.28 : x
  2. Step 2: Convert to fraction form
    496,443.94/767,133.28 = 767,133.28/x
  3. Step 3: Cross multiply
    496,443.94x = 767,133.28 × 767,133.28
  4. Step 4: Simplify right side
    496,443.94x = 588,493,471,201.39
  5. Step 5: Solve for x
    x = 588,493,471,201.39/496,443.94
  6. Step 6: Final answer
    x = 1,185,417.78

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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.