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Finding the Third Proportional to 315,602 and 443,915

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Solution

The third proportional to 315,602 and 443,915 is: 624,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,602 : 443,915 = 443,915 : x
  2. Step 2: Convert to fraction form
    315,602/443,915 = 443,915/x
  3. Step 3: Cross multiply
    315,602x = 443,915 × 443,915
  4. Step 4: Simplify right side
    315,602x = 197,060,527,225
  5. Step 5: Solve for x
    x = 197,060,527,225/315,602
  6. Step 6: Final answer
    x = 624,395.69

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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.