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Finding the Third Proportional to 262,321.31 and 564,776.44

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Solution

The third proportional to 262,321.31 and 564,776.44 is: 1,215,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,321.31 : 564,776.44 = 564,776.44 : x
  2. Step 2: Convert to fraction form
    262,321.31/564,776.44 = 564,776.44/x
  3. Step 3: Cross multiply
    262,321.31x = 564,776.44 × 564,776.44
  4. Step 4: Simplify right side
    262,321.31x = 318,972,424,355.19
  5. Step 5: Solve for x
    x = 318,972,424,355.19/262,321.31
  6. Step 6: Final answer
    x = 1,215,960.77

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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.