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Finding the Third Proportional to 411,901 and 616,357

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Solution

The third proportional to 411,901 and 616,357 is: 922,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,901 : 616,357 = 616,357 : x
  2. Step 2: Convert to fraction form
    411,901/616,357 = 616,357/x
  3. Step 3: Cross multiply
    411,901x = 616,357 × 616,357
  4. Step 4: Simplify right side
    411,901x = 379,895,951,449
  5. Step 5: Solve for x
    x = 379,895,951,449/411,901
  6. Step 6: Final answer
    x = 922,299.17

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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.