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Finding the Third Proportional to 640.01 and 898.79

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Solution

The third proportional to 640.01 and 898.79 is: 1,262.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.01 : 898.79 = 898.79 : x
  2. Step 2: Convert to fraction form
    640.01/898.79 = 898.79/x
  3. Step 3: Cross multiply
    640.01x = 898.79 × 898.79
  4. Step 4: Simplify right side
    640.01x = 807,826.17
  5. Step 5: Solve for x
    x = 807,826.17/640.01
  6. Step 6: Final answer
    x = 1,262.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.