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Finding the Third Proportional to 198,630 and 453,803

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Solution

The third proportional to 198,630 and 453,803 is: 1,036,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,630 : 453,803 = 453,803 : x
  2. Step 2: Convert to fraction form
    198,630/453,803 = 453,803/x
  3. Step 3: Cross multiply
    198,630x = 453,803 × 453,803
  4. Step 4: Simplify right side
    198,630x = 205,937,162,809
  5. Step 5: Solve for x
    x = 205,937,162,809/198,630
  6. Step 6: Final answer
    x = 1,036,787.81

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.