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Finding the Third Proportional to 241,063.17 and 518,405.48

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Solution

The third proportional to 241,063.17 and 518,405.48 is: 1,114,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,063.17 : 518,405.48 = 518,405.48 : x
  2. Step 2: Convert to fraction form
    241,063.17/518,405.48 = 518,405.48/x
  3. Step 3: Cross multiply
    241,063.17x = 518,405.48 × 518,405.48
  4. Step 4: Simplify right side
    241,063.17x = 268,744,246,230.08
  5. Step 5: Solve for x
    x = 268,744,246,230.08/241,063.17
  6. Step 6: Final answer
    x = 1,114,829.13

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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.