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Finding the Third Proportional to 536,078.25 and 833,523.75

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Solution

The third proportional to 536,078.25 and 833,523.75 is: 1,296,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,078.25 : 833,523.75 = 833,523.75 : x
  2. Step 2: Convert to fraction form
    536,078.25/833,523.75 = 833,523.75/x
  3. Step 3: Cross multiply
    536,078.25x = 833,523.75 × 833,523.75
  4. Step 4: Simplify right side
    536,078.25x = 694,761,841,814.06
  5. Step 5: Solve for x
    x = 694,761,841,814.06/536,078.25
  6. Step 6: Final answer
    x = 1,296,008.26

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