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Finding the Third Proportional to 190,939 and 411,464

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Solution

The third proportional to 190,939 and 411,464 is: 886,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,939 : 411,464 = 411,464 : x
  2. Step 2: Convert to fraction form
    190,939/411,464 = 411,464/x
  3. Step 3: Cross multiply
    190,939x = 411,464 × 411,464
  4. Step 4: Simplify right side
    190,939x = 169,302,623,296
  5. Step 5: Solve for x
    x = 169,302,623,296/190,939
  6. Step 6: Final answer
    x = 886,684.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.