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Finding the Third Proportional to 242,802 and 367,589

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Solution

The third proportional to 242,802 and 367,589 is: 556,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,802 : 367,589 = 367,589 : x
  2. Step 2: Convert to fraction form
    242,802/367,589 = 367,589/x
  3. Step 3: Cross multiply
    242,802x = 367,589 × 367,589
  4. Step 4: Simplify right side
    242,802x = 135,121,672,921
  5. Step 5: Solve for x
    x = 135,121,672,921/242,802
  6. Step 6: Final answer
    x = 556,509.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.