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Finding the Third Proportional to 221,762 and 481,432

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Solution

The third proportional to 221,762 and 481,432 is: 1,045,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,762 : 481,432 = 481,432 : x
  2. Step 2: Convert to fraction form
    221,762/481,432 = 481,432/x
  3. Step 3: Cross multiply
    221,762x = 481,432 × 481,432
  4. Step 4: Simplify right side
    221,762x = 231,776,770,624
  5. Step 5: Solve for x
    x = 231,776,770,624/221,762
  6. Step 6: Final answer
    x = 1,045,159.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.