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Finding the Third Proportional to 241,078 and 518,434

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Solution

The third proportional to 241,078 and 518,434 is: 1,114,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,078 : 518,434 = 518,434 : x
  2. Step 2: Convert to fraction form
    241,078/518,434 = 518,434/x
  3. Step 3: Cross multiply
    241,078x = 518,434 × 518,434
  4. Step 4: Simplify right side
    241,078x = 268,773,812,356
  5. Step 5: Solve for x
    x = 268,773,812,356/241,078
  6. Step 6: Final answer
    x = 1,114,883.20

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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.