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Finding the Third Proportional to 356,270 and 532,622

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Solution

The third proportional to 356,270 and 532,622 is: 796,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,270 : 532,622 = 532,622 : x
  2. Step 2: Convert to fraction form
    356,270/532,622 = 532,622/x
  3. Step 3: Cross multiply
    356,270x = 532,622 × 532,622
  4. Step 4: Simplify right side
    356,270x = 283,686,194,884
  5. Step 5: Solve for x
    x = 283,686,194,884/356,270
  6. Step 6: Final answer
    x = 796,267.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.