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Finding the Third Proportional to 241,711 and 518,402

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Solution

The third proportional to 241,711 and 518,402 is: 1,111,826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,711 : 518,402 = 518,402 : x
  2. Step 2: Convert to fraction form
    241,711/518,402 = 518,402/x
  3. Step 3: Cross multiply
    241,711x = 518,402 × 518,402
  4. Step 4: Simplify right side
    241,711x = 268,740,633,604
  5. Step 5: Solve for x
    x = 268,740,633,604/241,711
  6. Step 6: Final answer
    x = 1,111,826.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.