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Finding the Third Proportional to 491,206 and 738,634

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Solution

The third proportional to 491,206 and 738,634 is: 1,110,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,206 : 738,634 = 738,634 : x
  2. Step 2: Convert to fraction form
    491,206/738,634 = 738,634/x
  3. Step 3: Cross multiply
    491,206x = 738,634 × 738,634
  4. Step 4: Simplify right side
    491,206x = 545,580,185,956
  5. Step 5: Solve for x
    x = 545,580,185,956/491,206
  6. Step 6: Final answer
    x = 1,110,695.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.