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Finding the Third Proportional to 602.06 and 924.14

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Solution

The third proportional to 602.06 and 924.14 is: 1,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.06 : 924.14 = 924.14 : x
  2. Step 2: Convert to fraction form
    602.06/924.14 = 924.14/x
  3. Step 3: Cross multiply
    602.06x = 924.14 × 924.14
  4. Step 4: Simplify right side
    602.06x = 854,035.89
  5. Step 5: Solve for x
    x = 854,035.89/602.06
  6. Step 6: Final answer
    x = 1,418.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.