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Finding the Third Proportional to 265,226 and 542,707

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Solution

The third proportional to 265,226 and 542,707 is: 1,110,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,226 : 542,707 = 542,707 : x
  2. Step 2: Convert to fraction form
    265,226/542,707 = 542,707/x
  3. Step 3: Cross multiply
    265,226x = 542,707 × 542,707
  4. Step 4: Simplify right side
    265,226x = 294,530,887,849
  5. Step 5: Solve for x
    x = 294,530,887,849/265,226
  6. Step 6: Final answer
    x = 1,110,490.25

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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.