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Finding the Third Proportional to 317.67 and 737.07

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Solution

The third proportional to 317.67 and 737.07 is: 1,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.67 : 737.07 = 737.07 : x
  2. Step 2: Convert to fraction form
    317.67/737.07 = 737.07/x
  3. Step 3: Cross multiply
    317.67x = 737.07 × 737.07
  4. Step 4: Simplify right side
    317.67x = 543,269.77
  5. Step 5: Solve for x
    x = 543,269.77/317.67
  6. Step 6: Final answer
    x = 1,710.16

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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.