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Finding the Third Proportional to 315,608 and 443,924

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Solution

The third proportional to 315,608 and 443,924 is: 624,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,608 : 443,924 = 443,924 : x
  2. Step 2: Convert to fraction form
    315,608/443,924 = 443,924/x
  3. Step 3: Cross multiply
    315,608x = 443,924 × 443,924
  4. Step 4: Simplify right side
    315,608x = 197,068,517,776
  5. Step 5: Solve for x
    x = 197,068,517,776/315,608
  6. Step 6: Final answer
    x = 624,409.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.