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Finding the Third Proportional to 225,514 and 534,261

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Solution

The third proportional to 225,514 and 534,261 is: 1,265,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,514 : 534,261 = 534,261 : x
  2. Step 2: Convert to fraction form
    225,514/534,261 = 534,261/x
  3. Step 3: Cross multiply
    225,514x = 534,261 × 534,261
  4. Step 4: Simplify right side
    225,514x = 285,434,816,121
  5. Step 5: Solve for x
    x = 285,434,816,121/225,514
  6. Step 6: Final answer
    x = 1,265,707.74

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.