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Finding the Third Proportional to 346,732 and 518,694

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Solution

The third proportional to 346,732 and 518,694 is: 775,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,732 : 518,694 = 518,694 : x
  2. Step 2: Convert to fraction form
    346,732/518,694 = 518,694/x
  3. Step 3: Cross multiply
    346,732x = 518,694 × 518,694
  4. Step 4: Simplify right side
    346,732x = 269,043,465,636
  5. Step 5: Solve for x
    x = 269,043,465,636/346,732
  6. Step 6: Final answer
    x = 775,940.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.