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Finding the Third Proportional to 343,561.50 and 519,108.75

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Solution

The third proportional to 343,561.50 and 519,108.75 is: 784,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,561.50 : 519,108.75 = 519,108.75 : x
  2. Step 2: Convert to fraction form
    343,561.50/519,108.75 = 519,108.75/x
  3. Step 3: Cross multiply
    343,561.50x = 519,108.75 × 519,108.75
  4. Step 4: Simplify right side
    343,561.50x = 269,473,894,326.56
  5. Step 5: Solve for x
    x = 269,473,894,326.56/343,561.50
  6. Step 6: Final answer
    x = 784,354.17

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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.