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Finding the Third Proportional to 198,632 and 453,808

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Solution

The third proportional to 198,632 and 453,808 is: 1,036,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,632 : 453,808 = 453,808 : x
  2. Step 2: Convert to fraction form
    198,632/453,808 = 453,808/x
  3. Step 3: Cross multiply
    198,632x = 453,808 × 453,808
  4. Step 4: Simplify right side
    198,632x = 205,941,700,864
  5. Step 5: Solve for x
    x = 205,941,700,864/198,632
  6. Step 6: Final answer
    x = 1,036,800.22

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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.