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Finding the Third Proportional to 199,534 and 433,980

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Solution

The third proportional to 199,534 and 433,980 is: 943,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,534 : 433,980 = 433,980 : x
  2. Step 2: Convert to fraction form
    199,534/433,980 = 433,980/x
  3. Step 3: Cross multiply
    199,534x = 433,980 × 433,980
  4. Step 4: Simplify right side
    199,534x = 188,338,640,400
  5. Step 5: Solve for x
    x = 188,338,640,400/199,534
  6. Step 6: Final answer
    x = 943,892.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.