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Finding the Third Proportional to 547,164 and 853,956

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Solution

The third proportional to 547,164 and 853,956 is: 1,332,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,164 : 853,956 = 853,956 : x
  2. Step 2: Convert to fraction form
    547,164/853,956 = 853,956/x
  3. Step 3: Cross multiply
    547,164x = 853,956 × 853,956
  4. Step 4: Simplify right side
    547,164x = 729,240,849,936
  5. Step 5: Solve for x
    x = 729,240,849,936/547,164
  6. Step 6: Final answer
    x = 1,332,764.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.