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Finding the Third Proportional to 394,680 and 595,572

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Solution

The third proportional to 394,680 and 595,572 is: 898,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,680 : 595,572 = 595,572 : x
  2. Step 2: Convert to fraction form
    394,680/595,572 = 595,572/x
  3. Step 3: Cross multiply
    394,680x = 595,572 × 595,572
  4. Step 4: Simplify right side
    394,680x = 354,706,007,184
  5. Step 5: Solve for x
    x = 354,706,007,184/394,680
  6. Step 6: Final answer
    x = 898,717.97

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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.