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Finding the Third Proportional to 373,994 and 810,680

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Solution

The third proportional to 373,994 and 810,680 is: 1,757,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,994 : 810,680 = 810,680 : x
  2. Step 2: Convert to fraction form
    373,994/810,680 = 810,680/x
  3. Step 3: Cross multiply
    373,994x = 810,680 × 810,680
  4. Step 4: Simplify right side
    373,994x = 657,202,062,400
  5. Step 5: Solve for x
    x = 657,202,062,400/373,994
  6. Step 6: Final answer
    x = 1,757,252.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.