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Finding the Third Proportional to 221,758 and 476,723

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Solution

The third proportional to 221,758 and 476,723 is: 1,024,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,758 : 476,723 = 476,723 : x
  2. Step 2: Convert to fraction form
    221,758/476,723 = 476,723/x
  3. Step 3: Cross multiply
    221,758x = 476,723 × 476,723
  4. Step 4: Simplify right side
    221,758x = 227,264,818,729
  5. Step 5: Solve for x
    x = 227,264,818,729/221,758
  6. Step 6: Final answer
    x = 1,024,832.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.