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Finding the Third Proportional to 348,160 and 469,744

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Solution

The third proportional to 348,160 and 469,744 is: 633,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,160 : 469,744 = 469,744 : x
  2. Step 2: Convert to fraction form
    348,160/469,744 = 469,744/x
  3. Step 3: Cross multiply
    348,160x = 469,744 × 469,744
  4. Step 4: Simplify right side
    348,160x = 220,659,425,536
  5. Step 5: Solve for x
    x = 220,659,425,536/348,160
  6. Step 6: Final answer
    x = 633,787.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.