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Finding the Third Proportional to 552,544 and 853,224

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Solution

The third proportional to 552,544 and 853,224 is: 1,317,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,544 : 853,224 = 853,224 : x
  2. Step 2: Convert to fraction form
    552,544/853,224 = 853,224/x
  3. Step 3: Cross multiply
    552,544x = 853,224 × 853,224
  4. Step 4: Simplify right side
    552,544x = 727,991,194,176
  5. Step 5: Solve for x
    x = 727,991,194,176/552,544
  6. Step 6: Final answer
    x = 1,317,526.20

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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.