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Finding the Third Proportional to 239,155 and 503,096

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Solution

The third proportional to 239,155 and 503,096 is: 1,058,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,155 : 503,096 = 503,096 : x
  2. Step 2: Convert to fraction form
    239,155/503,096 = 503,096/x
  3. Step 3: Cross multiply
    239,155x = 503,096 × 503,096
  4. Step 4: Simplify right side
    239,155x = 253,105,585,216
  5. Step 5: Solve for x
    x = 253,105,585,216/239,155
  6. Step 6: Final answer
    x = 1,058,332.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.