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Finding the Third Proportional to 349,268 and 533,925

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Solution

The third proportional to 349,268 and 533,925 is: 816,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,268 : 533,925 = 533,925 : x
  2. Step 2: Convert to fraction form
    349,268/533,925 = 533,925/x
  3. Step 3: Cross multiply
    349,268x = 533,925 × 533,925
  4. Step 4: Simplify right side
    349,268x = 285,075,905,625
  5. Step 5: Solve for x
    x = 285,075,905,625/349,268
  6. Step 6: Final answer
    x = 816,209.63

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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.