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Finding the Third Proportional to 194,719 and 418,522

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Solution

The third proportional to 194,719 and 418,522 is: 899,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,719 : 418,522 = 418,522 : x
  2. Step 2: Convert to fraction form
    194,719/418,522 = 418,522/x
  3. Step 3: Cross multiply
    194,719x = 418,522 × 418,522
  4. Step 4: Simplify right side
    194,719x = 175,160,664,484
  5. Step 5: Solve for x
    x = 175,160,664,484/194,719
  6. Step 6: Final answer
    x = 899,556.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.