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Finding the Third Proportional to 279,534 and 613,982

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Solution

The third proportional to 279,534 and 613,982 is: 1,348,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,534 : 613,982 = 613,982 : x
  2. Step 2: Convert to fraction form
    279,534/613,982 = 613,982/x
  3. Step 3: Cross multiply
    279,534x = 613,982 × 613,982
  4. Step 4: Simplify right side
    279,534x = 376,973,896,324
  5. Step 5: Solve for x
    x = 376,973,896,324/279,534
  6. Step 6: Final answer
    x = 1,348,579.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.