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Finding the Third Proportional to 343,334 and 530,571

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Solution

The third proportional to 343,334 and 530,571 is: 819,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,334 : 530,571 = 530,571 : x
  2. Step 2: Convert to fraction form
    343,334/530,571 = 530,571/x
  3. Step 3: Cross multiply
    343,334x = 530,571 × 530,571
  4. Step 4: Simplify right side
    343,334x = 281,505,586,041
  5. Step 5: Solve for x
    x = 281,505,586,041/343,334
  6. Step 6: Final answer
    x = 819,917.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.