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Finding the Third Proportional to 203,776 and 442,688

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Solution

The third proportional to 203,776 and 442,688 is: 961,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,776 : 442,688 = 442,688 : x
  2. Step 2: Convert to fraction form
    203,776/442,688 = 442,688/x
  3. Step 3: Cross multiply
    203,776x = 442,688 × 442,688
  4. Step 4: Simplify right side
    203,776x = 195,972,665,344
  5. Step 5: Solve for x
    x = 195,972,665,344/203,776
  6. Step 6: Final answer
    x = 961,706.31

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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.