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Finding the Third Proportional to 313.03 and 476.93

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Solution

The third proportional to 313.03 and 476.93 is: 726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.03 : 476.93 = 476.93 : x
  2. Step 2: Convert to fraction form
    313.03/476.93 = 476.93/x
  3. Step 3: Cross multiply
    313.03x = 476.93 × 476.93
  4. Step 4: Simplify right side
    313.03x = 227,461.93
  5. Step 5: Solve for x
    x = 227,461.93/313.03
  6. Step 6: Final answer
    x = 726.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.