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Finding the Third Proportional to 348,149 and 469,735

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Solution

The third proportional to 348,149 and 469,735 is: 633,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,149 : 469,735 = 469,735 : x
  2. Step 2: Convert to fraction form
    348,149/469,735 = 469,735/x
  3. Step 3: Cross multiply
    348,149x = 469,735 × 469,735
  4. Step 4: Simplify right side
    348,149x = 220,650,970,225
  5. Step 5: Solve for x
    x = 220,650,970,225/348,149
  6. Step 6: Final answer
    x = 633,783.15

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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.