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Finding the Third Proportional to 175,758 and 414,726

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Solution

The third proportional to 175,758 and 414,726 is: 978,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,758 : 414,726 = 414,726 : x
  2. Step 2: Convert to fraction form
    175,758/414,726 = 414,726/x
  3. Step 3: Cross multiply
    175,758x = 414,726 × 414,726
  4. Step 4: Simplify right side
    175,758x = 171,997,655,076
  5. Step 5: Solve for x
    x = 171,997,655,076/175,758
  6. Step 6: Final answer
    x = 978,604.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.