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Finding the Third Proportional to 428.06 and 917.44

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Solution

The third proportional to 428.06 and 917.44 is: 1,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.06 : 917.44 = 917.44 : x
  2. Step 2: Convert to fraction form
    428.06/917.44 = 917.44/x
  3. Step 3: Cross multiply
    428.06x = 917.44 × 917.44
  4. Step 4: Simplify right side
    428.06x = 841,691.57
  5. Step 5: Solve for x
    x = 841,691.57/428.06
  6. Step 6: Final answer
    x = 1,966.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.