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Finding the Third Proportional to 552,436 and 853,062

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Solution

The third proportional to 552,436 and 853,062 is: 1,317,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,436 : 853,062 = 853,062 : x
  2. Step 2: Convert to fraction form
    552,436/853,062 = 853,062/x
  3. Step 3: Cross multiply
    552,436x = 853,062 × 853,062
  4. Step 4: Simplify right side
    552,436x = 727,714,775,844
  5. Step 5: Solve for x
    x = 727,714,775,844/552,436
  6. Step 6: Final answer
    x = 1,317,283.41

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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.