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Finding the Third Proportional to 291,837 and 639,032

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Solution

The third proportional to 291,837 and 639,032 is: 1,399,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,837 : 639,032 = 639,032 : x
  2. Step 2: Convert to fraction form
    291,837/639,032 = 639,032/x
  3. Step 3: Cross multiply
    291,837x = 639,032 × 639,032
  4. Step 4: Simplify right side
    291,837x = 408,361,897,024
  5. Step 5: Solve for x
    x = 408,361,897,024/291,837
  6. Step 6: Final answer
    x = 1,399,280.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.