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Finding the Third Proportional to 622.92 and 902.35

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Solution

The third proportional to 622.92 and 902.35 is: 1,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.92 : 902.35 = 902.35 : x
  2. Step 2: Convert to fraction form
    622.92/902.35 = 902.35/x
  3. Step 3: Cross multiply
    622.92x = 902.35 × 902.35
  4. Step 4: Simplify right side
    622.92x = 814,237.46
  5. Step 5: Solve for x
    x = 814,237.46/622.92
  6. Step 6: Final answer
    x = 1,307.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.