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Finding the Third Proportional to 719,286.75 and 1,074,003.75

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Solution

The third proportional to 719,286.75 and 1,074,003.75 is: 1,603,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,286.75 : 1,074,003.75 = 1,074,003.75 : x
  2. Step 2: Convert to fraction form
    719,286.75/1,074,003.75 = 1,074,003.75/x
  3. Step 3: Cross multiply
    719,286.75x = 1,074,003.75 × 1,074,003.75
  4. Step 4: Simplify right side
    719,286.75x = 1,153,484,055,014.06
  5. Step 5: Solve for x
    x = 1,153,484,055,014.06/719,286.75
  6. Step 6: Final answer
    x = 1,603,649.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.