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Finding the Third Proportional to 211,776 and 454,260

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Solution

The third proportional to 211,776 and 454,260 is: 974,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,776 : 454,260 = 454,260 : x
  2. Step 2: Convert to fraction form
    211,776/454,260 = 454,260/x
  3. Step 3: Cross multiply
    211,776x = 454,260 × 454,260
  4. Step 4: Simplify right side
    211,776x = 206,352,147,600
  5. Step 5: Solve for x
    x = 206,352,147,600/211,776
  6. Step 6: Final answer
    x = 974,388.73

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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.