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Finding the Third Proportional to 198,605 and 468,437

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Solution

The third proportional to 198,605 and 468,437 is: 1,104,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,605 : 468,437 = 468,437 : x
  2. Step 2: Convert to fraction form
    198,605/468,437 = 468,437/x
  3. Step 3: Cross multiply
    198,605x = 468,437 × 468,437
  4. Step 4: Simplify right side
    198,605x = 219,433,222,969
  5. Step 5: Solve for x
    x = 219,433,222,969/198,605
  6. Step 6: Final answer
    x = 1,104,872.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.