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Finding the Third Proportional to 336,375 and 519,435

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Solution

The third proportional to 336,375 and 519,435 is: 802,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,375 : 519,435 = 519,435 : x
  2. Step 2: Convert to fraction form
    336,375/519,435 = 519,435/x
  3. Step 3: Cross multiply
    336,375x = 519,435 × 519,435
  4. Step 4: Simplify right side
    336,375x = 269,812,719,225
  5. Step 5: Solve for x
    x = 269,812,719,225/336,375
  6. Step 6: Final answer
    x = 802,118.82

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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.