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Finding the Third Proportional to 368,150 and 559,514

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Solution

The third proportional to 368,150 and 559,514 is: 850,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,150 : 559,514 = 559,514 : x
  2. Step 2: Convert to fraction form
    368,150/559,514 = 559,514/x
  3. Step 3: Cross multiply
    368,150x = 559,514 × 559,514
  4. Step 4: Simplify right side
    368,150x = 313,055,916,196
  5. Step 5: Solve for x
    x = 313,055,916,196/368,150
  6. Step 6: Final answer
    x = 850,348.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.