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Finding the Third Proportional to 190,644 and 416,856

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Solution

The third proportional to 190,644 and 416,856 is: 911,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,644 : 416,856 = 416,856 : x
  2. Step 2: Convert to fraction form
    190,644/416,856 = 416,856/x
  3. Step 3: Cross multiply
    190,644x = 416,856 × 416,856
  4. Step 4: Simplify right side
    190,644x = 173,768,924,736
  5. Step 5: Solve for x
    x = 173,768,924,736/190,644
  6. Step 6: Final answer
    x = 911,483.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.