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Finding the Third Proportional to 174,727 and 410,735

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Solution

The third proportional to 174,727 and 410,735 is: 965,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,727 : 410,735 = 410,735 : x
  2. Step 2: Convert to fraction form
    174,727/410,735 = 410,735/x
  3. Step 3: Cross multiply
    174,727x = 410,735 × 410,735
  4. Step 4: Simplify right side
    174,727x = 168,703,240,225
  5. Step 5: Solve for x
    x = 168,703,240,225/174,727
  6. Step 6: Final answer
    x = 965,524.73

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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.