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Finding the Third Proportional to 268,855.88 and 412,684.88

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Solution

The third proportional to 268,855.88 and 412,684.88 is: 633,457.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,855.88 : 412,684.88 = 412,684.88 : x
  2. Step 2: Convert to fraction form
    268,855.88/412,684.88 = 412,684.88/x
  3. Step 3: Cross multiply
    268,855.88x = 412,684.88 × 412,684.88
  4. Step 4: Simplify right side
    268,855.88x = 170,308,806,053.77
  5. Step 5: Solve for x
    x = 170,308,806,053.77/268,855.88
  6. Step 6: Final answer
    x = 633,457.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.