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Finding the Third Proportional to 613.20 and 917.89

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Solution

The third proportional to 613.20 and 917.89 is: 1,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.20 : 917.89 = 917.89 : x
  2. Step 2: Convert to fraction form
    613.20/917.89 = 917.89/x
  3. Step 3: Cross multiply
    613.20x = 917.89 × 917.89
  4. Step 4: Simplify right side
    613.20x = 842,530.37
  5. Step 5: Solve for x
    x = 842,530.37/613.20
  6. Step 6: Final answer
    x = 1,374.00

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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.