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Finding the Third Proportional to 366,421 and 792,134

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Solution

The third proportional to 366,421 and 792,134 is: 1,712,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,421 : 792,134 = 792,134 : x
  2. Step 2: Convert to fraction form
    366,421/792,134 = 792,134/x
  3. Step 3: Cross multiply
    366,421x = 792,134 × 792,134
  4. Step 4: Simplify right side
    366,421x = 627,476,273,956
  5. Step 5: Solve for x
    x = 627,476,273,956/366,421
  6. Step 6: Final answer
    x = 1,712,446.27

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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.