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Finding the Third Proportional to 428.41 and 925.17

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Solution

The third proportional to 428.41 and 925.17 is: 1,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.41 : 925.17 = 925.17 : x
  2. Step 2: Convert to fraction form
    428.41/925.17 = 925.17/x
  3. Step 3: Cross multiply
    428.41x = 925.17 × 925.17
  4. Step 4: Simplify right side
    428.41x = 855,943.00
  5. Step 5: Solve for x
    x = 855,943.00/428.41
  6. Step 6: Final answer
    x = 1,997.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.