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Finding the Third Proportional to 253,326 and 395,324

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Solution

The third proportional to 253,326 and 395,324 is: 616,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,326 : 395,324 = 395,324 : x
  2. Step 2: Convert to fraction form
    253,326/395,324 = 395,324/x
  3. Step 3: Cross multiply
    253,326x = 395,324 × 395,324
  4. Step 4: Simplify right side
    253,326x = 156,281,064,976
  5. Step 5: Solve for x
    x = 156,281,064,976/253,326
  6. Step 6: Final answer
    x = 616,916.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.