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Finding the Third Proportional to 659.63 and 895.31

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Solution

The third proportional to 659.63 and 895.31 is: 1,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.63 : 895.31 = 895.31 : x
  2. Step 2: Convert to fraction form
    659.63/895.31 = 895.31/x
  3. Step 3: Cross multiply
    659.63x = 895.31 × 895.31
  4. Step 4: Simplify right side
    659.63x = 801,584.47
  5. Step 5: Solve for x
    x = 801,584.47/659.63
  6. Step 6: Final answer
    x = 1,215.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.