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Finding the Third Proportional to 539,412 and 777,006

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Solution

The third proportional to 539,412 and 777,006 is: 1,119,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,412 : 777,006 = 777,006 : x
  2. Step 2: Convert to fraction form
    539,412/777,006 = 777,006/x
  3. Step 3: Cross multiply
    539,412x = 777,006 × 777,006
  4. Step 4: Simplify right side
    539,412x = 603,738,324,036
  5. Step 5: Solve for x
    x = 603,738,324,036/539,412
  6. Step 6: Final answer
    x = 1,119,252.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.