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Finding the Third Proportional to 496,908 and 774,882

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Solution

The third proportional to 496,908 and 774,882 is: 1,208,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,908 : 774,882 = 774,882 : x
  2. Step 2: Convert to fraction form
    496,908/774,882 = 774,882/x
  3. Step 3: Cross multiply
    496,908x = 774,882 × 774,882
  4. Step 4: Simplify right side
    496,908x = 600,442,113,924
  5. Step 5: Solve for x
    x = 600,442,113,924/496,908
  6. Step 6: Final answer
    x = 1,208,356.71

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.