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Finding the Third Proportional to 336,379 and 519,441

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Solution

The third proportional to 336,379 and 519,441 is: 802,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,379 : 519,441 = 519,441 : x
  2. Step 2: Convert to fraction form
    336,379/519,441 = 519,441/x
  3. Step 3: Cross multiply
    336,379x = 519,441 × 519,441
  4. Step 4: Simplify right side
    336,379x = 269,818,952,481
  5. Step 5: Solve for x
    x = 269,818,952,481/336,379
  6. Step 6: Final answer
    x = 802,127.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.