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Finding the Third Proportional to 190,407 and 413,586

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Solution

The third proportional to 190,407 and 413,586 is: 898,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,407 : 413,586 = 413,586 : x
  2. Step 2: Convert to fraction form
    190,407/413,586 = 413,586/x
  3. Step 3: Cross multiply
    190,407x = 413,586 × 413,586
  4. Step 4: Simplify right side
    190,407x = 171,053,379,396
  5. Step 5: Solve for x
    x = 171,053,379,396/190,407
  6. Step 6: Final answer
    x = 898,356.57

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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.