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Finding the Third Proportional to 275,683.50 and 563,031

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Solution

The third proportional to 275,683.50 and 563,031 is: 1,149,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,683.50 : 563,031 = 563,031 : x
  2. Step 2: Convert to fraction form
    275,683.50/563,031 = 563,031/x
  3. Step 3: Cross multiply
    275,683.50x = 563,031 × 563,031
  4. Step 4: Simplify right side
    275,683.50x = 317,003,906,961
  5. Step 5: Solve for x
    x = 317,003,906,961/275,683.50
  6. Step 6: Final answer
    x = 1,149,883.50

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.