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Finding the Third Proportional to 239,948 and 509,410

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Solution

The third proportional to 239,948 and 509,410 is: 1,081,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,948 : 509,410 = 509,410 : x
  2. Step 2: Convert to fraction form
    239,948/509,410 = 509,410/x
  3. Step 3: Cross multiply
    239,948x = 509,410 × 509,410
  4. Step 4: Simplify right side
    239,948x = 259,498,548,100
  5. Step 5: Solve for x
    x = 259,498,548,100/239,948
  6. Step 6: Final answer
    x = 1,081,478.27

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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.