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Finding the Third Proportional to 356,302 and 532,723

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Solution

The third proportional to 356,302 and 532,723 is: 796,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,302 : 532,723 = 532,723 : x
  2. Step 2: Convert to fraction form
    356,302/532,723 = 532,723/x
  3. Step 3: Cross multiply
    356,302x = 532,723 × 532,723
  4. Step 4: Simplify right side
    356,302x = 283,793,794,729
  5. Step 5: Solve for x
    x = 283,793,794,729/356,302
  6. Step 6: Final answer
    x = 796,497.90

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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.