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Finding the Third Proportional to 250,104 and 509,460

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Solution

The third proportional to 250,104 and 509,460 is: 1,037,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,104 : 509,460 = 509,460 : x
  2. Step 2: Convert to fraction form
    250,104/509,460 = 509,460/x
  3. Step 3: Cross multiply
    250,104x = 509,460 × 509,460
  4. Step 4: Simplify right side
    250,104x = 259,549,491,600
  5. Step 5: Solve for x
    x = 259,549,491,600/250,104
  6. Step 6: Final answer
    x = 1,037,766.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.