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Finding the Third Proportional to 361,299 and 508,341

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Solution

The third proportional to 361,299 and 508,341 is: 715,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,299 : 508,341 = 508,341 : x
  2. Step 2: Convert to fraction form
    361,299/508,341 = 508,341/x
  3. Step 3: Cross multiply
    361,299x = 508,341 × 508,341
  4. Step 4: Simplify right side
    361,299x = 258,410,572,281
  5. Step 5: Solve for x
    x = 258,410,572,281/361,299
  6. Step 6: Final answer
    x = 715,226.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.