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Finding the Third Proportional to 660,954.75 and 891,785.25

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Solution

The third proportional to 660,954.75 and 891,785.25 is: 1,203,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,954.75 : 891,785.25 = 891,785.25 : x
  2. Step 2: Convert to fraction form
    660,954.75/891,785.25 = 891,785.25/x
  3. Step 3: Cross multiply
    660,954.75x = 891,785.25 × 891,785.25
  4. Step 4: Simplify right side
    660,954.75x = 795,280,932,117.56
  5. Step 5: Solve for x
    x = 795,280,932,117.56/660,954.75
  6. Step 6: Final answer
    x = 1,203,230.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.