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Finding the Third Proportional to 419 and 760

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Solution

The third proportional to 419 and 760 is: 1,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 760 = 760 : x
  2. Step 2: Convert to fraction form
    419/760 = 760/x
  3. Step 3: Cross multiply
    419x = 760 × 760
  4. Step 4: Simplify right side
    419x = 577,600
  5. Step 5: Solve for x
    x = 577,600/419
  6. Step 6: Final answer
    x = 1,378.52

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.