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Finding the Third Proportional to 426.06 and 917.19

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Solution

The third proportional to 426.06 and 917.19 is: 1,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.06 : 917.19 = 917.19 : x
  2. Step 2: Convert to fraction form
    426.06/917.19 = 917.19/x
  3. Step 3: Cross multiply
    426.06x = 917.19 × 917.19
  4. Step 4: Simplify right side
    426.06x = 841,232.91
  5. Step 5: Solve for x
    x = 841,232.91/426.06
  6. Step 6: Final answer
    x = 1,974.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.