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Finding the Third Proportional to 520,958 and 781,293

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Solution

The third proportional to 520,958 and 781,293 is: 1,171,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,958 : 781,293 = 781,293 : x
  2. Step 2: Convert to fraction form
    520,958/781,293 = 781,293/x
  3. Step 3: Cross multiply
    520,958x = 781,293 × 781,293
  4. Step 4: Simplify right side
    520,958x = 610,418,751,849
  5. Step 5: Solve for x
    x = 610,418,751,849/520,958
  6. Step 6: Final answer
    x = 1,171,723.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.