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Finding the Third Proportional to 501,006 and 774,846

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Solution

The third proportional to 501,006 and 774,846 is: 1,198,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,006 : 774,846 = 774,846 : x
  2. Step 2: Convert to fraction form
    501,006/774,846 = 774,846/x
  3. Step 3: Cross multiply
    501,006x = 774,846 × 774,846
  4. Step 4: Simplify right side
    501,006x = 600,386,323,716
  5. Step 5: Solve for x
    x = 600,386,323,716/501,006
  6. Step 6: Final answer
    x = 1,198,361.54

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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.