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Finding the Third Proportional to 491,521.50 and 664,074

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Solution

The third proportional to 491,521.50 and 664,074 is: 897,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,521.50 : 664,074 = 664,074 : x
  2. Step 2: Convert to fraction form
    491,521.50/664,074 = 664,074/x
  3. Step 3: Cross multiply
    491,521.50x = 664,074 × 664,074
  4. Step 4: Simplify right side
    491,521.50x = 440,994,277,476
  5. Step 5: Solve for x
    x = 440,994,277,476/491,521.50
  6. Step 6: Final answer
    x = 897,202.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.