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Finding the Third Proportional to 175,746 and 414,696

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Solution

The third proportional to 175,746 and 414,696 is: 978,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,746 : 414,696 = 414,696 : x
  2. Step 2: Convert to fraction form
    175,746/414,696 = 414,696/x
  3. Step 3: Cross multiply
    175,746x = 414,696 × 414,696
  4. Step 4: Simplify right side
    175,746x = 171,972,772,416
  5. Step 5: Solve for x
    x = 171,972,772,416/175,746
  6. Step 6: Final answer
    x = 978,530.22

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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.