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Finding the Third Proportional to 242,714 and 379,911

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Solution

The third proportional to 242,714 and 379,911 is: 594,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,714 : 379,911 = 379,911 : x
  2. Step 2: Convert to fraction form
    242,714/379,911 = 379,911/x
  3. Step 3: Cross multiply
    242,714x = 379,911 × 379,911
  4. Step 4: Simplify right side
    242,714x = 144,332,367,921
  5. Step 5: Solve for x
    x = 144,332,367,921/242,714
  6. Step 6: Final answer
    x = 594,660.25

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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.