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Finding the Third Proportional to 315,639 and 443,971.50

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Solution

The third proportional to 315,639 and 443,971.50 is: 624,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,639 : 443,971.50 = 443,971.50 : x
  2. Step 2: Convert to fraction form
    315,639/443,971.50 = 443,971.50/x
  3. Step 3: Cross multiply
    315,639x = 443,971.50 × 443,971.50
  4. Step 4: Simplify right side
    315,639x = 197,110,692,812.25
  5. Step 5: Solve for x
    x = 197,110,692,812.25/315,639
  6. Step 6: Final answer
    x = 624,481.43

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