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Finding the Third Proportional to 598.64 and 895.43

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Solution

The third proportional to 598.64 and 895.43 is: 1,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 895.43 = 895.43 : x
  2. Step 2: Convert to fraction form
    598.64/895.43 = 895.43/x
  3. Step 3: Cross multiply
    598.64x = 895.43 × 895.43
  4. Step 4: Simplify right side
    598.64x = 801,794.33
  5. Step 5: Solve for x
    x = 801,794.33/598.64
  6. Step 6: Final answer
    x = 1,339.36

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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.