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Finding the Third Proportional to 519,486 and 777,136

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Solution

The third proportional to 519,486 and 777,136 is: 1,162,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,486 : 777,136 = 777,136 : x
  2. Step 2: Convert to fraction form
    519,486/777,136 = 777,136/x
  3. Step 3: Cross multiply
    519,486x = 777,136 × 777,136
  4. Step 4: Simplify right side
    519,486x = 603,940,362,496
  5. Step 5: Solve for x
    x = 603,940,362,496/519,486
  6. Step 6: Final answer
    x = 1,162,572.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.