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Finding the Third Proportional to 343,586 and 519,146

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Solution

The third proportional to 343,586 and 519,146 is: 784,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,586 : 519,146 = 519,146 : x
  2. Step 2: Convert to fraction form
    343,586/519,146 = 519,146/x
  3. Step 3: Cross multiply
    343,586x = 519,146 × 519,146
  4. Step 4: Simplify right side
    343,586x = 269,512,569,316
  5. Step 5: Solve for x
    x = 269,512,569,316/343,586
  6. Step 6: Final answer
    x = 784,410.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.