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Finding the Third Proportional to 198,522 and 433,764

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Solution

The third proportional to 198,522 and 433,764 is: 947,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,522 : 433,764 = 433,764 : x
  2. Step 2: Convert to fraction form
    198,522/433,764 = 433,764/x
  3. Step 3: Cross multiply
    198,522x = 433,764 × 433,764
  4. Step 4: Simplify right side
    198,522x = 188,151,207,696
  5. Step 5: Solve for x
    x = 188,151,207,696/198,522
  6. Step 6: Final answer
    x = 947,759.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.