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Finding the Third Proportional to 726,558.75 and 1,120,496.63

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Solution

The third proportional to 726,558.75 and 1,120,496.63 is: 1,728,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,558.75 : 1,120,496.63 = 1,120,496.63 : x
  2. Step 2: Convert to fraction form
    726,558.75/1,120,496.63 = 1,120,496.63/x
  3. Step 3: Cross multiply
    726,558.75x = 1,120,496.63 × 1,120,496.63
  4. Step 4: Simplify right side
    726,558.75x = 1,255,512,686,636.39
  5. Step 5: Solve for x
    x = 1,255,512,686,636.39/726,558.75
  6. Step 6: Final answer
    x = 1,728,026.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.