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Finding the Third Proportional to 384,084 and 593,451

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Solution

The third proportional to 384,084 and 593,451 is: 916,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,084 : 593,451 = 593,451 : x
  2. Step 2: Convert to fraction form
    384,084/593,451 = 593,451/x
  3. Step 3: Cross multiply
    384,084x = 593,451 × 593,451
  4. Step 4: Simplify right side
    384,084x = 352,184,089,401
  5. Step 5: Solve for x
    x = 352,184,089,401/384,084
  6. Step 6: Final answer
    x = 916,945.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.