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Finding the Third Proportional to 512,228.25 and 751,735.13

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Solution

The third proportional to 512,228.25 and 751,735.13 is: 1,103,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,228.25 : 751,735.13 = 751,735.13 : x
  2. Step 2: Convert to fraction form
    512,228.25/751,735.13 = 751,735.13/x
  3. Step 3: Cross multiply
    512,228.25x = 751,735.13 × 751,735.13
  4. Step 4: Simplify right side
    512,228.25x = 565,105,698,158.77
  5. Step 5: Solve for x
    x = 565,105,698,158.77/512,228.25
  6. Step 6: Final answer
    x = 1,103,230.25

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Why These Related Problems?

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