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Finding the Third Proportional to 522.70 and 1,136.53

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Solution

The third proportional to 522.70 and 1,136.53 is: 2,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.70 : 1,136.53 = 1,136.53 : x
  2. Step 2: Convert to fraction form
    522.70/1,136.53 = 1,136.53/x
  3. Step 3: Cross multiply
    522.70x = 1,136.53 × 1,136.53
  4. Step 4: Simplify right side
    522.70x = 1,291,703.28
  5. Step 5: Solve for x
    x = 1,291,703.28/522.70
  6. Step 6: Final answer
    x = 2,471.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.