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Finding the Third Proportional to 381,970.50 and 831,909

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Solution

The third proportional to 381,970.50 and 831,909 is: 1,811,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,970.50 : 831,909 = 831,909 : x
  2. Step 2: Convert to fraction form
    381,970.50/831,909 = 831,909/x
  3. Step 3: Cross multiply
    381,970.50x = 831,909 × 831,909
  4. Step 4: Simplify right side
    381,970.50x = 692,072,584,281
  5. Step 5: Solve for x
    x = 692,072,584,281/381,970.50
  6. Step 6: Final answer
    x = 1,811,848.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.