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Finding the Third Proportional to 241,668.50 and 518,329

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Solution

The third proportional to 241,668.50 and 518,329 is: 1,111,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,668.50 : 518,329 = 518,329 : x
  2. Step 2: Convert to fraction form
    241,668.50/518,329 = 518,329/x
  3. Step 3: Cross multiply
    241,668.50x = 518,329 × 518,329
  4. Step 4: Simplify right side
    241,668.50x = 268,664,952,241
  5. Step 5: Solve for x
    x = 268,664,952,241/241,668.50
  6. Step 6: Final answer
    x = 1,111,708.61

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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.