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Finding the Third Proportional to 535,952 and 853,131

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Solution

The third proportional to 535,952 and 853,131 is: 1,358,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,952 : 853,131 = 853,131 : x
  2. Step 2: Convert to fraction form
    535,952/853,131 = 853,131/x
  3. Step 3: Cross multiply
    535,952x = 853,131 × 853,131
  4. Step 4: Simplify right side
    535,952x = 727,832,503,161
  5. Step 5: Solve for x
    x = 727,832,503,161/535,952
  6. Step 6: Final answer
    x = 1,358,018.07

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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.