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Finding the Third Proportional to 741.99 and 1,569.12

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Solution

The third proportional to 741.99 and 1,569.12 is: 3,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.99 : 1,569.12 = 1,569.12 : x
  2. Step 2: Convert to fraction form
    741.99/1,569.12 = 1,569.12/x
  3. Step 3: Cross multiply
    741.99x = 1,569.12 × 1,569.12
  4. Step 4: Simplify right side
    741.99x = 2,462,136.86
  5. Step 5: Solve for x
    x = 2,462,136.86/741.99
  6. Step 6: Final answer
    x = 3,318.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.