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Finding the Third Proportional to 627,136.50 and 925,942.50

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Solution

The third proportional to 627,136.50 and 925,942.50 is: 1,367,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,136.50 : 925,942.50 = 925,942.50 : x
  2. Step 2: Convert to fraction form
    627,136.50/925,942.50 = 925,942.50/x
  3. Step 3: Cross multiply
    627,136.50x = 925,942.50 × 925,942.50
  4. Step 4: Simplify right side
    627,136.50x = 857,369,513,306.25
  5. Step 5: Solve for x
    x = 857,369,513,306.25/627,136.50
  6. Step 6: Final answer
    x = 1,367,117.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.