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Finding the Third Proportional to 346,474 and 518,298

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Solution

The third proportional to 346,474 and 518,298 is: 775,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,474 : 518,298 = 518,298 : x
  2. Step 2: Convert to fraction form
    346,474/518,298 = 518,298/x
  3. Step 3: Cross multiply
    346,474x = 518,298 × 518,298
  4. Step 4: Simplify right side
    346,474x = 268,632,816,804
  5. Step 5: Solve for x
    x = 268,632,816,804/346,474
  6. Step 6: Final answer
    x = 775,333.26

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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.