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Finding the Third Proportional to 250,291 and 518,326

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Solution

The third proportional to 250,291 and 518,326 is: 1,073,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,291 : 518,326 = 518,326 : x
  2. Step 2: Convert to fraction form
    250,291/518,326 = 518,326/x
  3. Step 3: Cross multiply
    250,291x = 518,326 × 518,326
  4. Step 4: Simplify right side
    250,291x = 268,661,842,276
  5. Step 5: Solve for x
    x = 268,661,842,276/250,291
  6. Step 6: Final answer
    x = 1,073,397.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.