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Finding the Third Proportional to 500,766 and 776,574

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Solution

The third proportional to 500,766 and 776,574 is: 1,204,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,766 : 776,574 = 776,574 : x
  2. Step 2: Convert to fraction form
    500,766/776,574 = 776,574/x
  3. Step 3: Cross multiply
    500,766x = 776,574 × 776,574
  4. Step 4: Simplify right side
    500,766x = 603,067,177,476
  5. Step 5: Solve for x
    x = 603,067,177,476/500,766
  6. Step 6: Final answer
    x = 1,204,289.38

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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.