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Finding the Third Proportional to 499,856 and 774,206

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Solution

The third proportional to 499,856 and 774,206 is: 1,199,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,856 : 774,206 = 774,206 : x
  2. Step 2: Convert to fraction form
    499,856/774,206 = 774,206/x
  3. Step 3: Cross multiply
    499,856x = 774,206 × 774,206
  4. Step 4: Simplify right side
    499,856x = 599,394,930,436
  5. Step 5: Solve for x
    x = 599,394,930,436/499,856
  6. Step 6: Final answer
    x = 1,199,135.21

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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.