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Finding the Third Proportional to 579.66 and 734.06

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Solution

The third proportional to 579.66 and 734.06 is: 929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.66 : 734.06 = 734.06 : x
  2. Step 2: Convert to fraction form
    579.66/734.06 = 734.06/x
  3. Step 3: Cross multiply
    579.66x = 734.06 × 734.06
  4. Step 4: Simplify right side
    579.66x = 538,847.75
  5. Step 5: Solve for x
    x = 538,847.75/579.66
  6. Step 6: Final answer
    x = 929.60

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.