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Finding the Third Proportional to 242,742 and 379,992

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Solution

The third proportional to 242,742 and 379,992 is: 594,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,742 : 379,992 = 379,992 : x
  2. Step 2: Convert to fraction form
    242,742/379,992 = 379,992/x
  3. Step 3: Cross multiply
    242,742x = 379,992 × 379,992
  4. Step 4: Simplify right side
    242,742x = 144,393,920,064
  5. Step 5: Solve for x
    x = 144,393,920,064/242,742
  6. Step 6: Final answer
    x = 594,845.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.