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Finding the Third Proportional to 245,424 and 519,138

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Solution

The third proportional to 245,424 and 519,138 is: 1,098,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,424 : 519,138 = 519,138 : x
  2. Step 2: Convert to fraction form
    245,424/519,138 = 519,138/x
  3. Step 3: Cross multiply
    245,424x = 519,138 × 519,138
  4. Step 4: Simplify right side
    245,424x = 269,504,263,044
  5. Step 5: Solve for x
    x = 269,504,263,044/245,424
  6. Step 6: Final answer
    x = 1,098,116.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.