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Finding the Third Proportional to 505.69 and 543.38

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Solution

The third proportional to 505.69 and 543.38 is: 583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.69 : 543.38 = 543.38 : x
  2. Step 2: Convert to fraction form
    505.69/543.38 = 543.38/x
  3. Step 3: Cross multiply
    505.69x = 543.38 × 543.38
  4. Step 4: Simplify right side
    505.69x = 295,256.39
  5. Step 5: Solve for x
    x = 295,256.39/505.69
  6. Step 6: Final answer
    x = 583.87

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.