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Finding the Third Proportional to 190,466 and 413,740

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Solution

The third proportional to 190,466 and 413,740 is: 898,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,466 : 413,740 = 413,740 : x
  2. Step 2: Convert to fraction form
    190,466/413,740 = 413,740/x
  3. Step 3: Cross multiply
    190,466x = 413,740 × 413,740
  4. Step 4: Simplify right side
    190,466x = 171,180,787,600
  5. Step 5: Solve for x
    x = 171,180,787,600/190,466
  6. Step 6: Final answer
    x = 898,747.22

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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.