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Finding the Third Proportional to 315,027 and 492,797

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Solution

The third proportional to 315,027 and 492,797 is: 770,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,027 : 492,797 = 492,797 : x
  2. Step 2: Convert to fraction form
    315,027/492,797 = 492,797/x
  3. Step 3: Cross multiply
    315,027x = 492,797 × 492,797
  4. Step 4: Simplify right side
    315,027x = 242,848,883,209
  5. Step 5: Solve for x
    x = 242,848,883,209/315,027
  6. Step 6: Final answer
    x = 770,882.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.