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Finding the Third Proportional to 617,402.25 and 969,796.13

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Solution

The third proportional to 617,402.25 and 969,796.13 is: 1,523,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,402.25 : 969,796.13 = 969,796.13 : x
  2. Step 2: Convert to fraction form
    617,402.25/969,796.13 = 969,796.13/x
  3. Step 3: Cross multiply
    617,402.25x = 969,796.13 × 969,796.13
  4. Step 4: Simplify right side
    617,402.25x = 940,504,524,065.02
  5. Step 5: Solve for x
    x = 940,504,524,065.02/617,402.25
  6. Step 6: Final answer
    x = 1,523,325.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.