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Finding the Third Proportional to 190,395 and 413,564

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Solution

The third proportional to 190,395 and 413,564 is: 898,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,395 : 413,564 = 413,564 : x
  2. Step 2: Convert to fraction form
    190,395/413,564 = 413,564/x
  3. Step 3: Cross multiply
    190,395x = 413,564 × 413,564
  4. Step 4: Simplify right side
    190,395x = 171,035,182,096
  5. Step 5: Solve for x
    x = 171,035,182,096/190,395
  6. Step 6: Final answer
    x = 898,317.61

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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.