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Finding the Third Proportional to 250,023 and 539,412

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Solution

The third proportional to 250,023 and 539,412 is: 1,163,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,023 : 539,412 = 539,412 : x
  2. Step 2: Convert to fraction form
    250,023/539,412 = 539,412/x
  3. Step 3: Cross multiply
    250,023x = 539,412 × 539,412
  4. Step 4: Simplify right side
    250,023x = 290,965,305,744
  5. Step 5: Solve for x
    x = 290,965,305,744/250,023
  6. Step 6: Final answer
    x = 1,163,754.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.