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Finding the Third Proportional to 241,074 and 518,426

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Solution

The third proportional to 241,074 and 518,426 is: 1,114,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,074 : 518,426 = 518,426 : x
  2. Step 2: Convert to fraction form
    241,074/518,426 = 518,426/x
  3. Step 3: Cross multiply
    241,074x = 518,426 × 518,426
  4. Step 4: Simplify right side
    241,074x = 268,765,517,476
  5. Step 5: Solve for x
    x = 268,765,517,476/241,074
  6. Step 6: Final answer
    x = 1,114,867.29

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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.