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Finding the Third Proportional to 265,243 and 542,741

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Solution

The third proportional to 265,243 and 542,741 is: 1,110,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,243 : 542,741 = 542,741 : x
  2. Step 2: Convert to fraction form
    265,243/542,741 = 542,741/x
  3. Step 3: Cross multiply
    265,243x = 542,741 × 542,741
  4. Step 4: Simplify right side
    265,243x = 294,567,793,081
  5. Step 5: Solve for x
    x = 294,567,793,081/265,243
  6. Step 6: Final answer
    x = 1,110,558.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.