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Finding the Third Proportional to 241,419 and 519,651

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Solution

The third proportional to 241,419 and 519,651 is: 1,118,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,419 : 519,651 = 519,651 : x
  2. Step 2: Convert to fraction form
    241,419/519,651 = 519,651/x
  3. Step 3: Cross multiply
    241,419x = 519,651 × 519,651
  4. Step 4: Simplify right side
    241,419x = 270,037,161,801
  5. Step 5: Solve for x
    x = 270,037,161,801/241,419
  6. Step 6: Final answer
    x = 1,118,541.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.