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Finding the Third Proportional to 265,228 and 542,711

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Solution

The third proportional to 265,228 and 542,711 is: 1,110,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,228 : 542,711 = 542,711 : x
  2. Step 2: Convert to fraction form
    265,228/542,711 = 542,711/x
  3. Step 3: Cross multiply
    265,228x = 542,711 × 542,711
  4. Step 4: Simplify right side
    265,228x = 294,535,229,521
  5. Step 5: Solve for x
    x = 294,535,229,521/265,228
  6. Step 6: Final answer
    x = 1,110,498.25

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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.