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Finding the Third Proportional to 190,405 and 413,582

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Solution

The third proportional to 190,405 and 413,582 is: 898,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,405 : 413,582 = 413,582 : x
  2. Step 2: Convert to fraction form
    190,405/413,582 = 413,582/x
  3. Step 3: Cross multiply
    190,405x = 413,582 × 413,582
  4. Step 4: Simplify right side
    190,405x = 171,050,070,724
  5. Step 5: Solve for x
    x = 171,050,070,724/190,405
  6. Step 6: Final answer
    x = 898,348.63

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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.