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Finding the Third Proportional to 250,036 and 539,438

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Solution

The third proportional to 250,036 and 539,438 is: 1,163,805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,036 : 539,438 = 539,438 : x
  2. Step 2: Convert to fraction form
    250,036/539,438 = 539,438/x
  3. Step 3: Cross multiply
    250,036x = 539,438 × 539,438
  4. Step 4: Simplify right side
    250,036x = 290,993,355,844
  5. Step 5: Solve for x
    x = 290,993,355,844/250,036
  6. Step 6: Final answer
    x = 1,163,805.84

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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.