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Finding the Third Proportional to 365,634 and 552,339

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Solution

The third proportional to 365,634 and 552,339 is: 834,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,634 : 552,339 = 552,339 : x
  2. Step 2: Convert to fraction form
    365,634/552,339 = 552,339/x
  3. Step 3: Cross multiply
    365,634x = 552,339 × 552,339
  4. Step 4: Simplify right side
    365,634x = 305,078,370,921
  5. Step 5: Solve for x
    x = 305,078,370,921/365,634
  6. Step 6: Final answer
    x = 834,381.84

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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.