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Finding the Third Proportional to 598,622.25 and 929,410.75

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Solution

The third proportional to 598,622.25 and 929,410.75 is: 1,442,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,622.25 : 929,410.75 = 929,410.75 : x
  2. Step 2: Convert to fraction form
    598,622.25/929,410.75 = 929,410.75/x
  3. Step 3: Cross multiply
    598,622.25x = 929,410.75 × 929,410.75
  4. Step 4: Simplify right side
    598,622.25x = 863,804,342,215.56
  5. Step 5: Solve for x
    x = 863,804,342,215.56/598,622.25
  6. Step 6: Final answer
    x = 1,442,987.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.