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Finding the Third Proportional to 434,810 and 600,812

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Solution

The third proportional to 434,810 and 600,812 is: 830,190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,810 : 600,812 = 600,812 : x
  2. Step 2: Convert to fraction form
    434,810/600,812 = 600,812/x
  3. Step 3: Cross multiply
    434,810x = 600,812 × 600,812
  4. Step 4: Simplify right side
    434,810x = 360,975,059,344
  5. Step 5: Solve for x
    x = 360,975,059,344/434,810
  6. Step 6: Final answer
    x = 830,190.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.