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Finding the Third Proportional to 345,211 and 529,844

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Solution

The third proportional to 345,211 and 529,844 is: 813,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,211 : 529,844 = 529,844 : x
  2. Step 2: Convert to fraction form
    345,211/529,844 = 529,844/x
  3. Step 3: Cross multiply
    345,211x = 529,844 × 529,844
  4. Step 4: Simplify right side
    345,211x = 280,734,664,336
  5. Step 5: Solve for x
    x = 280,734,664,336/345,211
  6. Step 6: Final answer
    x = 813,226.30

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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.