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Finding the Third Proportional to 190,888 and 414,583

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Solution

The third proportional to 190,888 and 414,583 is: 900,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,888 : 414,583 = 414,583 : x
  2. Step 2: Convert to fraction form
    190,888/414,583 = 414,583/x
  3. Step 3: Cross multiply
    190,888x = 414,583 × 414,583
  4. Step 4: Simplify right side
    190,888x = 171,879,063,889
  5. Step 5: Solve for x
    x = 171,879,063,889/190,888
  6. Step 6: Final answer
    x = 900,418.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.