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Finding the Third Proportional to 701,168.43 and 1,002,583.59

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Solution

The third proportional to 701,168.43 and 1,002,583.59 is: 1,433,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,168.43 : 1,002,583.59 = 1,002,583.59 : x
  2. Step 2: Convert to fraction form
    701,168.43/1,002,583.59 = 1,002,583.59/x
  3. Step 3: Cross multiply
    701,168.43x = 1,002,583.59 × 1,002,583.59
  4. Step 4: Simplify right side
    701,168.43x = 1,005,173,856,582.13
  5. Step 5: Solve for x
    x = 1,005,173,856,582.13/701,168.43
  6. Step 6: Final answer
    x = 1,433,569.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.