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Finding the Third Proportional to 227,484 and 356,823

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Solution

The third proportional to 227,484 and 356,823 is: 559,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,484 : 356,823 = 356,823 : x
  2. Step 2: Convert to fraction form
    227,484/356,823 = 356,823/x
  3. Step 3: Cross multiply
    227,484x = 356,823 × 356,823
  4. Step 4: Simplify right side
    227,484x = 127,322,653,329
  5. Step 5: Solve for x
    x = 127,322,653,329/227,484
  6. Step 6: Final answer
    x = 559,699.38

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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.