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Finding the Third Proportional to 175,779 and 380,718

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Solution

The third proportional to 175,779 and 380,718 is: 824,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,779 : 380,718 = 380,718 : x
  2. Step 2: Convert to fraction form
    175,779/380,718 = 380,718/x
  3. Step 3: Cross multiply
    175,779x = 380,718 × 380,718
  4. Step 4: Simplify right side
    175,779x = 144,946,195,524
  5. Step 5: Solve for x
    x = 144,946,195,524/175,779
  6. Step 6: Final answer
    x = 824,593.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.