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Finding the Third Proportional to 334,858 and 469,431

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Solution

The third proportional to 334,858 and 469,431 is: 658,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,858 : 469,431 = 469,431 : x
  2. Step 2: Convert to fraction form
    334,858/469,431 = 469,431/x
  3. Step 3: Cross multiply
    334,858x = 469,431 × 469,431
  4. Step 4: Simplify right side
    334,858x = 220,365,463,761
  5. Step 5: Solve for x
    x = 220,365,463,761/334,858
  6. Step 6: Final answer
    x = 658,086.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.