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Finding the Third Proportional to 356,782 and 552,742

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Solution

The third proportional to 356,782 and 552,742 is: 856,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,782 : 552,742 = 552,742 : x
  2. Step 2: Convert to fraction form
    356,782/552,742 = 552,742/x
  3. Step 3: Cross multiply
    356,782x = 552,742 × 552,742
  4. Step 4: Simplify right side
    356,782x = 305,523,718,564
  5. Step 5: Solve for x
    x = 305,523,718,564/356,782
  6. Step 6: Final answer
    x = 856,331.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.