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Finding the Third Proportional to 241,281 and 519,958

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Solution

The third proportional to 241,281 and 519,958 is: 1,120,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,281 : 519,958 = 519,958 : x
  2. Step 2: Convert to fraction form
    241,281/519,958 = 519,958/x
  3. Step 3: Cross multiply
    241,281x = 519,958 × 519,958
  4. Step 4: Simplify right side
    241,281x = 270,356,321,764
  5. Step 5: Solve for x
    x = 270,356,321,764/241,281
  6. Step 6: Final answer
    x = 1,120,503.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.