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Finding the Third Proportional to 450,651.75 and 701,843.63

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Solution

The third proportional to 450,651.75 and 701,843.63 is: 1,093,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,651.75 : 701,843.63 = 701,843.63 : x
  2. Step 2: Convert to fraction form
    450,651.75/701,843.63 = 701,843.63/x
  3. Step 3: Cross multiply
    450,651.75x = 701,843.63 × 701,843.63
  4. Step 4: Simplify right side
    450,651.75x = 492,584,473,953.14
  5. Step 5: Solve for x
    x = 492,584,473,953.14/450,651.75
  6. Step 6: Final answer
    x = 1,093,049.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.