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Finding the Third Proportional to 410,442 and 593,910

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Solution

The third proportional to 410,442 and 593,910 is: 859,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,442 : 593,910 = 593,910 : x
  2. Step 2: Convert to fraction form
    410,442/593,910 = 593,910/x
  3. Step 3: Cross multiply
    410,442x = 593,910 × 593,910
  4. Step 4: Simplify right side
    410,442x = 352,729,088,100
  5. Step 5: Solve for x
    x = 352,729,088,100/410,442
  6. Step 6: Final answer
    x = 859,388.39

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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.