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Finding the Third Proportional to 552,398 and 853,018

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Solution

The third proportional to 552,398 and 853,018 is: 1,317,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,398 : 853,018 = 853,018 : x
  2. Step 2: Convert to fraction form
    552,398/853,018 = 853,018/x
  3. Step 3: Cross multiply
    552,398x = 853,018 × 853,018
  4. Step 4: Simplify right side
    552,398x = 727,639,708,324
  5. Step 5: Solve for x
    x = 727,639,708,324/552,398
  6. Step 6: Final answer
    x = 1,317,238.13

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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.