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Finding the Third Proportional to 334,200.94 and 464,122.41

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Solution

The third proportional to 334,200.94 and 464,122.41 is: 644,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,200.94 : 464,122.41 = 464,122.41 : x
  2. Step 2: Convert to fraction form
    334,200.94/464,122.41 = 464,122.41/x
  3. Step 3: Cross multiply
    334,200.94x = 464,122.41 × 464,122.41
  4. Step 4: Simplify right side
    334,200.94x = 215,409,607,983.29
  5. Step 5: Solve for x
    x = 215,409,607,983.29/334,200.94
  6. Step 6: Final answer
    x = 644,551.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.