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Finding the Third Proportional to 315,636 and 443,967

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Solution

The third proportional to 315,636 and 443,967 is: 624,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,636 : 443,967 = 443,967 : x
  2. Step 2: Convert to fraction form
    315,636/443,967 = 443,967/x
  3. Step 3: Cross multiply
    315,636x = 443,967 × 443,967
  4. Step 4: Simplify right side
    315,636x = 197,106,697,089
  5. Step 5: Solve for x
    x = 197,106,697,089/315,636
  6. Step 6: Final answer
    x = 624,474.70

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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.