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Finding the Third Proportional to 250,295 and 509,284

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Solution

The third proportional to 250,295 and 509,284 is: 1,036,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,295 : 509,284 = 509,284 : x
  2. Step 2: Convert to fraction form
    250,295/509,284 = 509,284/x
  3. Step 3: Cross multiply
    250,295x = 509,284 × 509,284
  4. Step 4: Simplify right side
    250,295x = 259,370,192,656
  5. Step 5: Solve for x
    x = 259,370,192,656/250,295
  6. Step 6: Final answer
    x = 1,036,257.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.