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Finding the Third Proportional to 190,314 and 414,522

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Solution

The third proportional to 190,314 and 414,522 is: 902,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,314 : 414,522 = 414,522 : x
  2. Step 2: Convert to fraction form
    190,314/414,522 = 414,522/x
  3. Step 3: Cross multiply
    190,314x = 414,522 × 414,522
  4. Step 4: Simplify right side
    190,314x = 171,828,488,484
  5. Step 5: Solve for x
    x = 171,828,488,484/190,314
  6. Step 6: Final answer
    x = 902,868.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.