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Finding the Third Proportional to 198,532 and 424,766

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Solution

The third proportional to 198,532 and 424,766 is: 908,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,532 : 424,766 = 424,766 : x
  2. Step 2: Convert to fraction form
    198,532/424,766 = 424,766/x
  3. Step 3: Cross multiply
    198,532x = 424,766 × 424,766
  4. Step 4: Simplify right side
    198,532x = 180,426,154,756
  5. Step 5: Solve for x
    x = 180,426,154,756/198,532
  6. Step 6: Final answer
    x = 908,801.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.