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Finding the Third Proportional to 174,738 and 410,733

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Solution

The third proportional to 174,738 and 410,733 is: 965,454.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,738 : 410,733 = 410,733 : x
  2. Step 2: Convert to fraction form
    174,738/410,733 = 410,733/x
  3. Step 3: Cross multiply
    174,738x = 410,733 × 410,733
  4. Step 4: Simplify right side
    174,738x = 168,701,597,289
  5. Step 5: Solve for x
    x = 168,701,597,289/174,738
  6. Step 6: Final answer
    x = 965,454.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.