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Finding the Third Proportional to 254,431 and 336,411

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Solution

The third proportional to 254,431 and 336,411 is: 444,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,431 : 336,411 = 336,411 : x
  2. Step 2: Convert to fraction form
    254,431/336,411 = 336,411/x
  3. Step 3: Cross multiply
    254,431x = 336,411 × 336,411
  4. Step 4: Simplify right side
    254,431x = 113,172,360,921
  5. Step 5: Solve for x
    x = 113,172,360,921/254,431
  6. Step 6: Final answer
    x = 444,805.71

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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.