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Finding the Third Proportional to 552,402 and 853,027

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Solution

The third proportional to 552,402 and 853,027 is: 1,317,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,402 : 853,027 = 853,027 : x
  2. Step 2: Convert to fraction form
    552,402/853,027 = 853,027/x
  3. Step 3: Cross multiply
    552,402x = 853,027 × 853,027
  4. Step 4: Simplify right side
    552,402x = 727,655,062,729
  5. Step 5: Solve for x
    x = 727,655,062,729/552,402
  6. Step 6: Final answer
    x = 1,317,256.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.