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Finding the Third Proportional to 621.56 and 1,404.94

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Solution

The third proportional to 621.56 and 1,404.94 is: 3,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.56 : 1,404.94 = 1,404.94 : x
  2. Step 2: Convert to fraction form
    621.56/1,404.94 = 1,404.94/x
  3. Step 3: Cross multiply
    621.56x = 1,404.94 × 1,404.94
  4. Step 4: Simplify right side
    621.56x = 1,973,849.38
  5. Step 5: Solve for x
    x = 1,973,849.38/621.56
  6. Step 6: Final answer
    x = 3,175.62

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.