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Finding the Third Proportional to 746.09 and 1,110.59

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Solution

The third proportional to 746.09 and 1,110.59 is: 1,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.09 : 1,110.59 = 1,110.59 : x
  2. Step 2: Convert to fraction form
    746.09/1,110.59 = 1,110.59/x
  3. Step 3: Cross multiply
    746.09x = 1,110.59 × 1,110.59
  4. Step 4: Simplify right side
    746.09x = 1,233,401.12
  5. Step 5: Solve for x
    x = 1,233,401.12/746.09
  6. Step 6: Final answer
    x = 1,653.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.