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Finding the Third Proportional to 346,473 and 518,298

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Solution

The third proportional to 346,473 and 518,298 is: 775,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,473 : 518,298 = 518,298 : x
  2. Step 2: Convert to fraction form
    346,473/518,298 = 518,298/x
  3. Step 3: Cross multiply
    346,473x = 518,298 × 518,298
  4. Step 4: Simplify right side
    346,473x = 268,632,816,804
  5. Step 5: Solve for x
    x = 268,632,816,804/346,473
  6. Step 6: Final answer
    x = 775,335.50

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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.