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Finding the Third Proportional to 265,734 and 442,890

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Solution

The third proportional to 265,734 and 442,890 is: 738,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734 : 442,890 = 442,890 : x
  2. Step 2: Convert to fraction form
    265,734/442,890 = 442,890/x
  3. Step 3: Cross multiply
    265,734x = 442,890 × 442,890
  4. Step 4: Simplify right side
    265,734x = 196,151,552,100
  5. Step 5: Solve for x
    x = 196,151,552,100/265,734
  6. Step 6: Final answer
    x = 738,150

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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.