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Finding the Third Proportional to 479.59 and 740.59

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Solution

The third proportional to 479.59 and 740.59 is: 1,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.59 : 740.59 = 740.59 : x
  2. Step 2: Convert to fraction form
    479.59/740.59 = 740.59/x
  3. Step 3: Cross multiply
    479.59x = 740.59 × 740.59
  4. Step 4: Simplify right side
    479.59x = 548,479.10
  5. Step 5: Solve for x
    x = 548,479.10/479.59
  6. Step 6: Final answer
    x = 1,143.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.