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Finding the Third Proportional to 199,523 and 432,954

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Solution

The third proportional to 199,523 and 432,954 is: 939,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,523 : 432,954 = 432,954 : x
  2. Step 2: Convert to fraction form
    199,523/432,954 = 432,954/x
  3. Step 3: Cross multiply
    199,523x = 432,954 × 432,954
  4. Step 4: Simplify right side
    199,523x = 187,449,166,116
  5. Step 5: Solve for x
    x = 187,449,166,116/199,523
  6. Step 6: Final answer
    x = 939,486.51

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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.