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Finding the Third Proportional to 627,496 and 960,078

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Solution

The third proportional to 627,496 and 960,078 is: 1,468,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,496 : 960,078 = 960,078 : x
  2. Step 2: Convert to fraction form
    627,496/960,078 = 960,078/x
  3. Step 3: Cross multiply
    627,496x = 960,078 × 960,078
  4. Step 4: Simplify right side
    627,496x = 921,749,766,084
  5. Step 5: Solve for x
    x = 921,749,766,084/627,496
  6. Step 6: Final answer
    x = 1,468,933.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.