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Finding the Third Proportional to 190,058 and 412,970

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Solution

The third proportional to 190,058 and 412,970 is: 897,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,058 : 412,970 = 412,970 : x
  2. Step 2: Convert to fraction form
    190,058/412,970 = 412,970/x
  3. Step 3: Cross multiply
    190,058x = 412,970 × 412,970
  4. Step 4: Simplify right side
    190,058x = 170,544,220,900
  5. Step 5: Solve for x
    x = 170,544,220,900/190,058
  6. Step 6: Final answer
    x = 897,327.24

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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.