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Finding the Third Proportional to 655.59 and 917.72

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Solution

The third proportional to 655.59 and 917.72 is: 1,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.59 : 917.72 = 917.72 : x
  2. Step 2: Convert to fraction form
    655.59/917.72 = 917.72/x
  3. Step 3: Cross multiply
    655.59x = 917.72 × 917.72
  4. Step 4: Simplify right side
    655.59x = 842,207.70
  5. Step 5: Solve for x
    x = 842,207.70/655.59
  6. Step 6: Final answer
    x = 1,284.65

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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.