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Finding the Third Proportional to 777,258.75 and 1,143,660.75

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Solution

The third proportional to 777,258.75 and 1,143,660.75 is: 1,682,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,258.75 : 1,143,660.75 = 1,143,660.75 : x
  2. Step 2: Convert to fraction form
    777,258.75/1,143,660.75 = 1,143,660.75/x
  3. Step 3: Cross multiply
    777,258.75x = 1,143,660.75 × 1,143,660.75
  4. Step 4: Simplify right side
    777,258.75x = 1,307,959,911,090.56
  5. Step 5: Solve for x
    x = 1,307,959,911,090.56/777,258.75
  6. Step 6: Final answer
    x = 1,682,785.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.