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Finding the Third Proportional to 486.95 and 713.34

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Solution

The third proportional to 486.95 and 713.34 is: 1,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.95 : 713.34 = 713.34 : x
  2. Step 2: Convert to fraction form
    486.95/713.34 = 713.34/x
  3. Step 3: Cross multiply
    486.95x = 713.34 × 713.34
  4. Step 4: Simplify right side
    486.95x = 508,850.95
  5. Step 5: Solve for x
    x = 508,850.95/486.95
  6. Step 6: Final answer
    x = 1,044.98

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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.