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Finding the Third Proportional to 539,496 and 777,108

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Solution

The third proportional to 539,496 and 777,108 is: 1,119,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,496 : 777,108 = 777,108 : x
  2. Step 2: Convert to fraction form
    539,496/777,108 = 777,108/x
  3. Step 3: Cross multiply
    539,496x = 777,108 × 777,108
  4. Step 4: Simplify right side
    539,496x = 603,896,843,664
  5. Step 5: Solve for x
    x = 603,896,843,664/539,496
  6. Step 6: Final answer
    x = 1,119,372.24

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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.