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Finding the Third Proportional to 535,558 and 782,811

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Solution

The third proportional to 535,558 and 782,811 is: 1,144,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,558 : 782,811 = 782,811 : x
  2. Step 2: Convert to fraction form
    535,558/782,811 = 782,811/x
  3. Step 3: Cross multiply
    535,558x = 782,811 × 782,811
  4. Step 4: Simplify right side
    535,558x = 612,793,061,721
  5. Step 5: Solve for x
    x = 612,793,061,721/535,558
  6. Step 6: Final answer
    x = 1,144,214.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.