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Finding the Third Proportional to 250,659 and 521,973

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Solution

The third proportional to 250,659 and 521,973 is: 1,086,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,659 : 521,973 = 521,973 : x
  2. Step 2: Convert to fraction form
    250,659/521,973 = 521,973/x
  3. Step 3: Cross multiply
    250,659x = 521,973 × 521,973
  4. Step 4: Simplify right side
    250,659x = 272,455,812,729
  5. Step 5: Solve for x
    x = 272,455,812,729/250,659
  6. Step 6: Final answer
    x = 1,086,958.03

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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.