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Finding the Third Proportional to 538,212.09 and 833,365.13

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Solution

The third proportional to 538,212.09 and 833,365.13 is: 1,290,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,212.09 : 833,365.13 = 833,365.13 : x
  2. Step 2: Convert to fraction form
    538,212.09/833,365.13 = 833,365.13/x
  3. Step 3: Cross multiply
    538,212.09x = 833,365.13 × 833,365.13
  4. Step 4: Simplify right side
    538,212.09x = 694,497,431,566.27
  5. Step 5: Solve for x
    x = 694,497,431,566.27/538,212.09
  6. Step 6: Final answer
    x = 1,290,378.72

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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.