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Finding the Third Proportional to 622.92 and 714.05

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Solution

The third proportional to 622.92 and 714.05 is: 818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.92 : 714.05 = 714.05 : x
  2. Step 2: Convert to fraction form
    622.92/714.05 = 714.05/x
  3. Step 3: Cross multiply
    622.92x = 714.05 × 714.05
  4. Step 4: Simplify right side
    622.92x = 509,867.12
  5. Step 5: Solve for x
    x = 509,867.12/622.92
  6. Step 6: Final answer
    x = 818.51

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.