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Finding the Third Proportional to 253,536 and 379,514

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Solution

The third proportional to 253,536 and 379,514 is: 568,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,536 : 379,514 = 379,514 : x
  2. Step 2: Convert to fraction form
    253,536/379,514 = 379,514/x
  3. Step 3: Cross multiply
    253,536x = 379,514 × 379,514
  4. Step 4: Simplify right side
    253,536x = 144,030,876,196
  5. Step 5: Solve for x
    x = 144,030,876,196/253,536
  6. Step 6: Final answer
    x = 568,088.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.