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Finding the Third Proportional to 414,590 and 855,352

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Solution

The third proportional to 414,590 and 855,352 is: 1,764,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,590 : 855,352 = 855,352 : x
  2. Step 2: Convert to fraction form
    414,590/855,352 = 855,352/x
  3. Step 3: Cross multiply
    414,590x = 855,352 × 855,352
  4. Step 4: Simplify right side
    414,590x = 731,627,043,904
  5. Step 5: Solve for x
    x = 731,627,043,904/414,590
  6. Step 6: Final answer
    x = 1,764,700.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.