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Finding the Third Proportional to 407,414 and 877,238

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Solution

The third proportional to 407,414 and 877,238 is: 1,888,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,414 : 877,238 = 877,238 : x
  2. Step 2: Convert to fraction form
    407,414/877,238 = 877,238/x
  3. Step 3: Cross multiply
    407,414x = 877,238 × 877,238
  4. Step 4: Simplify right side
    407,414x = 769,546,508,644
  5. Step 5: Solve for x
    x = 769,546,508,644/407,414
  6. Step 6: Final answer
    x = 1,888,856.32

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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.