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Finding the Third Proportional to 299,814 and 461,298

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Solution

The third proportional to 299,814 and 461,298 is: 709,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,814 : 461,298 = 461,298 : x
  2. Step 2: Convert to fraction form
    299,814/461,298 = 461,298/x
  3. Step 3: Cross multiply
    299,814x = 461,298 × 461,298
  4. Step 4: Simplify right side
    299,814x = 212,795,844,804
  5. Step 5: Solve for x
    x = 212,795,844,804/299,814
  6. Step 6: Final answer
    x = 709,759.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.