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Finding the Third Proportional to 207,756 and 454,392

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Solution

The third proportional to 207,756 and 454,392 is: 993,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,756 : 454,392 = 454,392 : x
  2. Step 2: Convert to fraction form
    207,756/454,392 = 454,392/x
  3. Step 3: Cross multiply
    207,756x = 454,392 × 454,392
  4. Step 4: Simplify right side
    207,756x = 206,472,089,664
  5. Step 5: Solve for x
    x = 206,472,089,664/207,756
  6. Step 6: Final answer
    x = 993,820.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.