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Finding the Third Proportional to 288,006 and 395,514

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Solution

The third proportional to 288,006 and 395,514 is: 543,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,006 : 395,514 = 395,514 : x
  2. Step 2: Convert to fraction form
    288,006/395,514 = 395,514/x
  3. Step 3: Cross multiply
    288,006x = 395,514 × 395,514
  4. Step 4: Simplify right side
    288,006x = 156,431,324,196
  5. Step 5: Solve for x
    x = 156,431,324,196/288,006
  6. Step 6: Final answer
    x = 543,153.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.