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Finding the Third Proportional to 174,728 and 410,388

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Solution

The third proportional to 174,728 and 410,388 is: 963,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,728 : 410,388 = 410,388 : x
  2. Step 2: Convert to fraction form
    174,728/410,388 = 410,388/x
  3. Step 3: Cross multiply
    174,728x = 410,388 × 410,388
  4. Step 4: Simplify right side
    174,728x = 168,418,310,544
  5. Step 5: Solve for x
    x = 168,418,310,544/174,728
  6. Step 6: Final answer
    x = 963,888.50

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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.