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Finding the Third Proportional to 227,326 and 355,822

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Solution

The third proportional to 227,326 and 355,822 is: 556,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,326 : 355,822 = 355,822 : x
  2. Step 2: Convert to fraction form
    227,326/355,822 = 355,822/x
  3. Step 3: Cross multiply
    227,326x = 355,822 × 355,822
  4. Step 4: Simplify right side
    227,326x = 126,609,295,684
  5. Step 5: Solve for x
    x = 126,609,295,684/227,326
  6. Step 6: Final answer
    x = 556,950.35

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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.