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Finding the Third Proportional to 536,375.25 and 866,895.75

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Solution

The third proportional to 536,375.25 and 866,895.75 is: 1,401,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,375.25 : 866,895.75 = 866,895.75 : x
  2. Step 2: Convert to fraction form
    536,375.25/866,895.75 = 866,895.75/x
  3. Step 3: Cross multiply
    536,375.25x = 866,895.75 × 866,895.75
  4. Step 4: Simplify right side
    536,375.25x = 751,508,241,368.06
  5. Step 5: Solve for x
    x = 751,508,241,368.06/536,375.25
  6. Step 6: Final answer
    x = 1,401,086.72

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.