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Finding the Third Proportional to 552,406 and 853,030

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Solution

The third proportional to 552,406 and 853,030 is: 1,317,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,406 : 853,030 = 853,030 : x
  2. Step 2: Convert to fraction form
    552,406/853,030 = 853,030/x
  3. Step 3: Cross multiply
    552,406x = 853,030 × 853,030
  4. Step 4: Simplify right side
    552,406x = 727,660,180,900
  5. Step 5: Solve for x
    x = 727,660,180,900/552,406
  6. Step 6: Final answer
    x = 1,317,256.11

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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.