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Finding the Third Proportional to 348,151 and 469,738

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Solution

The third proportional to 348,151 and 469,738 is: 633,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,151 : 469,738 = 469,738 : x
  2. Step 2: Convert to fraction form
    348,151/469,738 = 469,738/x
  3. Step 3: Cross multiply
    348,151x = 469,738 × 469,738
  4. Step 4: Simplify right side
    348,151x = 220,653,788,644
  5. Step 5: Solve for x
    x = 220,653,788,644/348,151
  6. Step 6: Final answer
    x = 633,787.61

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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.