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Finding the Third Proportional to 386,392 and 591,093

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Solution

The third proportional to 386,392 and 591,093 is: 904,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,392 : 591,093 = 591,093 : x
  2. Step 2: Convert to fraction form
    386,392/591,093 = 591,093/x
  3. Step 3: Cross multiply
    386,392x = 591,093 × 591,093
  4. Step 4: Simplify right side
    386,392x = 349,390,934,649
  5. Step 5: Solve for x
    x = 349,390,934,649/386,392
  6. Step 6: Final answer
    x = 904,239.57

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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.