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Finding the Third Proportional to 456.84 and 668.13

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Solution

The third proportional to 456.84 and 668.13 is: 977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 668.13 = 668.13 : x
  2. Step 2: Convert to fraction form
    456.84/668.13 = 668.13/x
  3. Step 3: Cross multiply
    456.84x = 668.13 × 668.13
  4. Step 4: Simplify right side
    456.84x = 446,391.02
  5. Step 5: Solve for x
    x = 446,391.02/456.84
  6. Step 6: Final answer
    x = 977.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.