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Finding the Third Proportional to 227,448 and 356,796

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Solution

The third proportional to 227,448 and 356,796 is: 559,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,448 : 356,796 = 356,796 : x
  2. Step 2: Convert to fraction form
    227,448/356,796 = 356,796/x
  3. Step 3: Cross multiply
    227,448x = 356,796 × 356,796
  4. Step 4: Simplify right side
    227,448x = 127,303,385,616
  5. Step 5: Solve for x
    x = 127,303,385,616/227,448
  6. Step 6: Final answer
    x = 559,703.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.