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Finding the Third Proportional to 917.16 and 1,504.83

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Solution

The third proportional to 917.16 and 1,504.83 is: 2,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.16 : 1,504.83 = 1,504.83 : x
  2. Step 2: Convert to fraction form
    917.16/1,504.83 = 1,504.83/x
  3. Step 3: Cross multiply
    917.16x = 1,504.83 × 1,504.83
  4. Step 4: Simplify right side
    917.16x = 2,264,507.69
  5. Step 5: Solve for x
    x = 2,264,507.69/917.16
  6. Step 6: Final answer
    x = 2,469.05

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.