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Finding the Third Proportional to 317.63 and 473.81

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Solution

The third proportional to 317.63 and 473.81 is: 706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.63 : 473.81 = 473.81 : x
  2. Step 2: Convert to fraction form
    317.63/473.81 = 473.81/x
  3. Step 3: Cross multiply
    317.63x = 473.81 × 473.81
  4. Step 4: Simplify right side
    317.63x = 224,498.29
  5. Step 5: Solve for x
    x = 224,498.29/317.63
  6. Step 6: Final answer
    x = 706.80

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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.