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Finding the Third Proportional to 419 and 910

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Solution

The third proportional to 419 and 910 is: 1,976.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 910 = 910 : x
  2. Step 2: Convert to fraction form
    419/910 = 910/x
  3. Step 3: Cross multiply
    419x = 910 × 910
  4. Step 4: Simplify right side
    419x = 828,100
  5. Step 5: Solve for x
    x = 828,100/419
  6. Step 6: Final answer
    x = 1,976.37

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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.