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Finding the Third Proportional to 221,762 and 534,653

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Solution

The third proportional to 221,762 and 534,653 is: 1,289,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,762 : 534,653 = 534,653 : x
  2. Step 2: Convert to fraction form
    221,762/534,653 = 534,653/x
  3. Step 3: Cross multiply
    221,762x = 534,653 × 534,653
  4. Step 4: Simplify right side
    221,762x = 285,853,830,409
  5. Step 5: Solve for x
    x = 285,853,830,409/221,762
  6. Step 6: Final answer
    x = 1,289,011.78

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.