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Finding the Third Proportional to 276,621.50 and 563,395

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Solution

The third proportional to 276,621.50 and 563,395 is: 1,147,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,621.50 : 563,395 = 563,395 : x
  2. Step 2: Convert to fraction form
    276,621.50/563,395 = 563,395/x
  3. Step 3: Cross multiply
    276,621.50x = 563,395 × 563,395
  4. Step 4: Simplify right side
    276,621.50x = 317,413,926,025
  5. Step 5: Solve for x
    x = 317,413,926,025/276,621.50
  6. Step 6: Final answer
    x = 1,147,466.58

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Why These Related Problems?

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