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Finding the Third Proportional to 356,364 and 532,800

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Solution

The third proportional to 356,364 and 532,800 is: 796,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,364 : 532,800 = 532,800 : x
  2. Step 2: Convert to fraction form
    356,364/532,800 = 532,800/x
  3. Step 3: Cross multiply
    356,364x = 532,800 × 532,800
  4. Step 4: Simplify right side
    356,364x = 283,875,840,000
  5. Step 5: Solve for x
    x = 283,875,840,000/356,364
  6. Step 6: Final answer
    x = 796,589.55

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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.