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Finding the Third Proportional to 428.31 and 930.02

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Solution

The third proportional to 428.31 and 930.02 is: 2,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.31 : 930.02 = 930.02 : x
  2. Step 2: Convert to fraction form
    428.31/930.02 = 930.02/x
  3. Step 3: Cross multiply
    428.31x = 930.02 × 930.02
  4. Step 4: Simplify right side
    428.31x = 864,943.59
  5. Step 5: Solve for x
    x = 864,943.59/428.31
  6. Step 6: Final answer
    x = 2,019.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.