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Finding the Third Proportional to 538,434 and 833,613

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Solution

The third proportional to 538,434 and 833,613 is: 1,290,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,434 : 833,613 = 833,613 : x
  2. Step 2: Convert to fraction form
    538,434/833,613 = 833,613/x
  3. Step 3: Cross multiply
    538,434x = 833,613 × 833,613
  4. Step 4: Simplify right side
    538,434x = 694,910,633,769
  5. Step 5: Solve for x
    x = 694,910,633,769/538,434
  6. Step 6: Final answer
    x = 1,290,614.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.