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Finding the Third Proportional to 254,433 and 336,414

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Solution

The third proportional to 254,433 and 336,414 is: 444,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,433 : 336,414 = 336,414 : x
  2. Step 2: Convert to fraction form
    254,433/336,414 = 336,414/x
  3. Step 3: Cross multiply
    254,433x = 336,414 × 336,414
  4. Step 4: Simplify right side
    254,433x = 113,174,379,396
  5. Step 5: Solve for x
    x = 113,174,379,396/254,433
  6. Step 6: Final answer
    x = 444,810.14

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.