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Finding the Third Proportional to 627,005.25 and 960,748.31

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Solution

The third proportional to 627,005.25 and 960,748.31 is: 1,472,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,005.25 : 960,748.31 = 960,748.31 : x
  2. Step 2: Convert to fraction form
    627,005.25/960,748.31 = 960,748.31/x
  3. Step 3: Cross multiply
    627,005.25x = 960,748.31 × 960,748.31
  4. Step 4: Simplify right side
    627,005.25x = 923,037,319,971.60
  5. Step 5: Solve for x
    x = 923,037,319,971.60/627,005.25
  6. Step 6: Final answer
    x = 1,472,136.51

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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.