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Finding the Third Proportional to 250,617 and 591,411

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Solution

The third proportional to 250,617 and 591,411 is: 1,395,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,617 : 591,411 = 591,411 : x
  2. Step 2: Convert to fraction form
    250,617/591,411 = 591,411/x
  3. Step 3: Cross multiply
    250,617x = 591,411 × 591,411
  4. Step 4: Simplify right side
    250,617x = 349,766,970,921
  5. Step 5: Solve for x
    x = 349,766,970,921/250,617
  6. Step 6: Final answer
    x = 1,395,623.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.