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Finding the Third Proportional to 309,883 and 478,837

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Solution

The third proportional to 309,883 and 478,837 is: 739,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,883 : 478,837 = 478,837 : x
  2. Step 2: Convert to fraction form
    309,883/478,837 = 478,837/x
  3. Step 3: Cross multiply
    309,883x = 478,837 × 478,837
  4. Step 4: Simplify right side
    309,883x = 229,284,872,569
  5. Step 5: Solve for x
    x = 229,284,872,569/309,883
  6. Step 6: Final answer
    x = 739,907.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.