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Finding the Third Proportional to 402.94 and 602.91

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Solution

The third proportional to 402.94 and 602.91 is: 902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.94 : 602.91 = 602.91 : x
  2. Step 2: Convert to fraction form
    402.94/602.91 = 602.91/x
  3. Step 3: Cross multiply
    402.94x = 602.91 × 602.91
  4. Step 4: Simplify right side
    402.94x = 363,495.95
  5. Step 5: Solve for x
    x = 363,495.95/402.94
  6. Step 6: Final answer
    x = 902.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.