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Finding the Third Proportional to 348,137 and 469,713

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Solution

The third proportional to 348,137 and 469,713 is: 633,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,137 : 469,713 = 469,713 : x
  2. Step 2: Convert to fraction form
    348,137/469,713 = 469,713/x
  3. Step 3: Cross multiply
    348,137x = 469,713 × 469,713
  4. Step 4: Simplify right side
    348,137x = 220,630,302,369
  5. Step 5: Solve for x
    x = 220,630,302,369/348,137
  6. Step 6: Final answer
    x = 633,745.63

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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.