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Finding the Third Proportional to 276,084 and 405,030

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Solution

The third proportional to 276,084 and 405,030 is: 594,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,084 : 405,030 = 405,030 : x
  2. Step 2: Convert to fraction form
    276,084/405,030 = 405,030/x
  3. Step 3: Cross multiply
    276,084x = 405,030 × 405,030
  4. Step 4: Simplify right side
    276,084x = 164,049,300,900
  5. Step 5: Solve for x
    x = 164,049,300,900/276,084
  6. Step 6: Final answer
    x = 594,200.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.