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Finding the Third Proportional to 381,120 and 593,442

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Solution

The third proportional to 381,120 and 593,442 is: 924,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,120 : 593,442 = 593,442 : x
  2. Step 2: Convert to fraction form
    381,120/593,442 = 593,442/x
  3. Step 3: Cross multiply
    381,120x = 593,442 × 593,442
  4. Step 4: Simplify right side
    381,120x = 352,173,407,364
  5. Step 5: Solve for x
    x = 352,173,407,364/381,120
  6. Step 6: Final answer
    x = 924,048.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.