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Finding the Third Proportional to 280.13 and 602.63

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Solution

The third proportional to 280.13 and 602.63 is: 1,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.13 : 602.63 = 602.63 : x
  2. Step 2: Convert to fraction form
    280.13/602.63 = 602.63/x
  3. Step 3: Cross multiply
    280.13x = 602.63 × 602.63
  4. Step 4: Simplify right side
    280.13x = 363,156.89
  5. Step 5: Solve for x
    x = 363,156.89/280.13
  6. Step 6: Final answer
    x = 1,296.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.