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Finding the Third Proportional to 381,124 and 593,448

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Solution

The third proportional to 381,124 and 593,448 is: 924,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,124 : 593,448 = 593,448 : x
  2. Step 2: Convert to fraction form
    381,124/593,448 = 593,448/x
  3. Step 3: Cross multiply
    381,124x = 593,448 × 593,448
  4. Step 4: Simplify right side
    381,124x = 352,180,528,704
  5. Step 5: Solve for x
    x = 352,180,528,704/381,124
  6. Step 6: Final answer
    x = 924,057.60

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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.