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Finding the Third Proportional to 363,371 and 557,767

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Solution

The third proportional to 363,371 and 557,767 is: 856,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,371 : 557,767 = 557,767 : x
  2. Step 2: Convert to fraction form
    363,371/557,767 = 557,767/x
  3. Step 3: Cross multiply
    363,371x = 557,767 × 557,767
  4. Step 4: Simplify right side
    363,371x = 311,104,026,289
  5. Step 5: Solve for x
    x = 311,104,026,289/363,371
  6. Step 6: Final answer
    x = 856,160.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.