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Finding the Third Proportional to 326.13 and 714.44

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Solution

The third proportional to 326.13 and 714.44 is: 1,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.13 : 714.44 = 714.44 : x
  2. Step 2: Convert to fraction form
    326.13/714.44 = 714.44/x
  3. Step 3: Cross multiply
    326.13x = 714.44 × 714.44
  4. Step 4: Simplify right side
    326.13x = 510,420.94
  5. Step 5: Solve for x
    x = 510,420.94/326.13
  6. Step 6: Final answer
    x = 1,565.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.