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Finding the Third Proportional to 535,949 and 853,124

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Solution

The third proportional to 535,949 and 853,124 is: 1,358,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,949 : 853,124 = 853,124 : x
  2. Step 2: Convert to fraction form
    535,949/853,124 = 853,124/x
  3. Step 3: Cross multiply
    535,949x = 853,124 × 853,124
  4. Step 4: Simplify right side
    535,949x = 727,820,559,376
  5. Step 5: Solve for x
    x = 727,820,559,376/535,949
  6. Step 6: Final answer
    x = 1,358,003.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.