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Finding the Third Proportional to 250,333 and 521,374

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Solution

The third proportional to 250,333 and 521,374 is: 1,085,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,333 : 521,374 = 521,374 : x
  2. Step 2: Convert to fraction form
    250,333/521,374 = 521,374/x
  3. Step 3: Cross multiply
    250,333x = 521,374 × 521,374
  4. Step 4: Simplify right side
    250,333x = 271,830,847,876
  5. Step 5: Solve for x
    x = 271,830,847,876/250,333
  6. Step 6: Final answer
    x = 1,085,877.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.