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Finding the Third Proportional to 227,488 and 356,830

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Solution

The third proportional to 227,488 and 356,830 is: 559,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,488 : 356,830 = 356,830 : x
  2. Step 2: Convert to fraction form
    227,488/356,830 = 356,830/x
  3. Step 3: Cross multiply
    227,488x = 356,830 × 356,830
  4. Step 4: Simplify right side
    227,488x = 127,327,648,900
  5. Step 5: Solve for x
    x = 127,327,648,900/227,488
  6. Step 6: Final answer
    x = 559,711.50

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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.