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Finding the Third Proportional to 225,491 and 356,790

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Solution

The third proportional to 225,491 and 356,790 is: 564,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,491 : 356,790 = 356,790 : x
  2. Step 2: Convert to fraction form
    225,491/356,790 = 356,790/x
  3. Step 3: Cross multiply
    225,491x = 356,790 × 356,790
  4. Step 4: Simplify right side
    225,491x = 127,299,104,100
  5. Step 5: Solve for x
    x = 127,299,104,100/225,491
  6. Step 6: Final answer
    x = 564,541.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.