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Finding the Third Proportional to 244,346 and 538,396

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Solution

The third proportional to 244,346 and 538,396 is: 1,186,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,346 : 538,396 = 538,396 : x
  2. Step 2: Convert to fraction form
    244,346/538,396 = 538,396/x
  3. Step 3: Cross multiply
    244,346x = 538,396 × 538,396
  4. Step 4: Simplify right side
    244,346x = 289,870,252,816
  5. Step 5: Solve for x
    x = 289,870,252,816/244,346
  6. Step 6: Final answer
    x = 1,186,310.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.