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Finding the Third Proportional to 345,236 and 529,892

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Solution

The third proportional to 345,236 and 529,892 is: 813,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,236 : 529,892 = 529,892 : x
  2. Step 2: Convert to fraction form
    345,236/529,892 = 529,892/x
  3. Step 3: Cross multiply
    345,236x = 529,892 × 529,892
  4. Step 4: Simplify right side
    345,236x = 280,785,531,664
  5. Step 5: Solve for x
    x = 280,785,531,664/345,236
  6. Step 6: Final answer
    x = 813,314.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.