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Finding the Third Proportional to 500,826 and 775,542

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Solution

The third proportional to 500,826 and 775,542 is: 1,200,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,826 : 775,542 = 775,542 : x
  2. Step 2: Convert to fraction form
    500,826/775,542 = 775,542/x
  3. Step 3: Cross multiply
    500,826x = 775,542 × 775,542
  4. Step 4: Simplify right side
    500,826x = 601,465,393,764
  5. Step 5: Solve for x
    x = 601,465,393,764/500,826
  6. Step 6: Final answer
    x = 1,200,946.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.