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Finding the Third Proportional to 265,736 and 442,892

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Solution

The third proportional to 265,736 and 442,892 is: 738,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,736 : 442,892 = 442,892 : x
  2. Step 2: Convert to fraction form
    265,736/442,892 = 442,892/x
  3. Step 3: Cross multiply
    265,736x = 442,892 × 442,892
  4. Step 4: Simplify right side
    265,736x = 196,153,323,664
  5. Step 5: Solve for x
    x = 196,153,323,664/265,736
  6. Step 6: Final answer
    x = 738,151.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.