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Finding the Third Proportional to 356,300 and 532,722

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Solution

The third proportional to 356,300 and 532,722 is: 796,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,300 : 532,722 = 532,722 : x
  2. Step 2: Convert to fraction form
    356,300/532,722 = 532,722/x
  3. Step 3: Cross multiply
    356,300x = 532,722 × 532,722
  4. Step 4: Simplify right side
    356,300x = 283,792,729,284
  5. Step 5: Solve for x
    x = 283,792,729,284/356,300
  6. Step 6: Final answer
    x = 796,499.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.