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Finding the Third Proportional to 734.25 and 1,136.25

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Solution

The third proportional to 734.25 and 1,136.25 is: 1,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.25 : 1,136.25 = 1,136.25 : x
  2. Step 2: Convert to fraction form
    734.25/1,136.25 = 1,136.25/x
  3. Step 3: Cross multiply
    734.25x = 1,136.25 × 1,136.25
  4. Step 4: Simplify right side
    734.25x = 1,291,064.06
  5. Step 5: Solve for x
    x = 1,291,064.06/734.25
  6. Step 6: Final answer
    x = 1,758.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.