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Finding the Third Proportional to 759,867.75 and 1,203,228

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Solution

The third proportional to 759,867.75 and 1,203,228 is: 1,905,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,867.75 : 1,203,228 = 1,203,228 : x
  2. Step 2: Convert to fraction form
    759,867.75/1,203,228 = 1,203,228/x
  3. Step 3: Cross multiply
    759,867.75x = 1,203,228 × 1,203,228
  4. Step 4: Simplify right side
    759,867.75x = 1,447,757,619,984
  5. Step 5: Solve for x
    x = 1,447,757,619,984/759,867.75
  6. Step 6: Final answer
    x = 1,905,275.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.