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Finding the Third Proportional to 190,724 and 411,436

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Solution

The third proportional to 190,724 and 411,436 is: 887,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,724 : 411,436 = 411,436 : x
  2. Step 2: Convert to fraction form
    190,724/411,436 = 411,436/x
  3. Step 3: Cross multiply
    190,724x = 411,436 × 411,436
  4. Step 4: Simplify right side
    190,724x = 169,279,582,096
  5. Step 5: Solve for x
    x = 169,279,582,096/190,724
  6. Step 6: Final answer
    x = 887,563.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.