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Finding the Third Proportional to 262,475.44 and 418,636.69

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Solution

The third proportional to 262,475.44 and 418,636.69 is: 667,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,475.44 : 418,636.69 = 418,636.69 : x
  2. Step 2: Convert to fraction form
    262,475.44/418,636.69 = 418,636.69/x
  3. Step 3: Cross multiply
    262,475.44x = 418,636.69 × 418,636.69
  4. Step 4: Simplify right side
    262,475.44x = 175,256,676,120.97
  5. Step 5: Solve for x
    x = 175,256,676,120.97/262,475.44
  6. Step 6: Final answer
    x = 667,706.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.