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Finding the Third Proportional to 410,446 and 593,916

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Solution

The third proportional to 410,446 and 593,916 is: 859,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,446 : 593,916 = 593,916 : x
  2. Step 2: Convert to fraction form
    410,446/593,916 = 593,916/x
  3. Step 3: Cross multiply
    410,446x = 593,916 × 593,916
  4. Step 4: Simplify right side
    410,446x = 352,736,215,056
  5. Step 5: Solve for x
    x = 352,736,215,056/410,446
  6. Step 6: Final answer
    x = 859,397.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.