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Finding the Third Proportional to 723.19 and 1,537.22

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Solution

The third proportional to 723.19 and 1,537.22 is: 3,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.19 : 1,537.22 = 1,537.22 : x
  2. Step 2: Convert to fraction form
    723.19/1,537.22 = 1,537.22/x
  3. Step 3: Cross multiply
    723.19x = 1,537.22 × 1,537.22
  4. Step 4: Simplify right side
    723.19x = 2,363,041.49
  5. Step 5: Solve for x
    x = 2,363,041.49/723.19
  6. Step 6: Final answer
    x = 3,267.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.