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Finding the Third Proportional to 209,772 and 454,524

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Solution

The third proportional to 209,772 and 454,524 is: 984,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,772 : 454,524 = 454,524 : x
  2. Step 2: Convert to fraction form
    209,772/454,524 = 454,524/x
  3. Step 3: Cross multiply
    209,772x = 454,524 × 454,524
  4. Step 4: Simplify right side
    209,772x = 206,592,066,576
  5. Step 5: Solve for x
    x = 206,592,066,576/209,772
  6. Step 6: Final answer
    x = 984,841.00

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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.