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Finding the Third Proportional to 313.88 and 728.06

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Solution

The third proportional to 313.88 and 728.06 is: 1,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.88 : 728.06 = 728.06 : x
  2. Step 2: Convert to fraction form
    313.88/728.06 = 728.06/x
  3. Step 3: Cross multiply
    313.88x = 728.06 × 728.06
  4. Step 4: Simplify right side
    313.88x = 530,075.00
  5. Step 5: Solve for x
    x = 530,075.00/313.88
  6. Step 6: Final answer
    x = 1,688.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.