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Finding the Third Proportional to 356,326 and 522,823

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Solution

The third proportional to 356,326 and 522,823 is: 767,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,326 : 522,823 = 522,823 : x
  2. Step 2: Convert to fraction form
    356,326/522,823 = 522,823/x
  3. Step 3: Cross multiply
    356,326x = 522,823 × 522,823
  4. Step 4: Simplify right side
    356,326x = 273,343,889,329
  5. Step 5: Solve for x
    x = 273,343,889,329/356,326
  6. Step 6: Final answer
    x = 767,117.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.