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Finding the Third Proportional to 334,852 and 469,422

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Solution

The third proportional to 334,852 and 469,422 is: 658,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,852 : 469,422 = 469,422 : x
  2. Step 2: Convert to fraction form
    334,852/469,422 = 469,422/x
  3. Step 3: Cross multiply
    334,852x = 469,422 × 469,422
  4. Step 4: Simplify right side
    334,852x = 220,357,014,084
  5. Step 5: Solve for x
    x = 220,357,014,084/334,852
  6. Step 6: Final answer
    x = 658,072.86

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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.