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Finding the Third Proportional to 538,436.25 and 833,618.25

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Solution

The third proportional to 538,436.25 and 833,618.25 is: 1,290,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,436.25 : 833,618.25 = 833,618.25 : x
  2. Step 2: Convert to fraction form
    538,436.25/833,618.25 = 833,618.25/x
  3. Step 3: Cross multiply
    538,436.25x = 833,618.25 × 833,618.25
  4. Step 4: Simplify right side
    538,436.25x = 694,919,386,733.06
  5. Step 5: Solve for x
    x = 694,919,386,733.06/538,436.25
  6. Step 6: Final answer
    x = 1,290,625.19

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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.