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Finding the Third Proportional to 239,903 and 513,024

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Solution

The third proportional to 239,903 and 513,024 is: 1,097,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,903 : 513,024 = 513,024 : x
  2. Step 2: Convert to fraction form
    239,903/513,024 = 513,024/x
  3. Step 3: Cross multiply
    239,903x = 513,024 × 513,024
  4. Step 4: Simplify right side
    239,903x = 263,193,624,576
  5. Step 5: Solve for x
    x = 263,193,624,576/239,903
  6. Step 6: Final answer
    x = 1,097,083.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.