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Finding the Third Proportional to 473.75 and 680.13

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Solution

The third proportional to 473.75 and 680.13 is: 976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.75 : 680.13 = 680.13 : x
  2. Step 2: Convert to fraction form
    473.75/680.13 = 680.13/x
  3. Step 3: Cross multiply
    473.75x = 680.13 × 680.13
  4. Step 4: Simplify right side
    473.75x = 462,570.02
  5. Step 5: Solve for x
    x = 462,570.02/473.75
  6. Step 6: Final answer
    x = 976.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.