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Finding the Third Proportional to 174,734 and 410,723

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Solution

The third proportional to 174,734 and 410,723 is: 965,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,734 : 410,723 = 410,723 : x
  2. Step 2: Convert to fraction form
    174,734/410,723 = 410,723/x
  3. Step 3: Cross multiply
    174,734x = 410,723 × 410,723
  4. Step 4: Simplify right side
    174,734x = 168,693,382,729
  5. Step 5: Solve for x
    x = 168,693,382,729/174,734
  6. Step 6: Final answer
    x = 965,429.64

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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.