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Finding the Third Proportional to 358,822 and 845,844

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Solution

The third proportional to 358,822 and 845,844 is: 1,993,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,822 : 845,844 = 845,844 : x
  2. Step 2: Convert to fraction form
    358,822/845,844 = 845,844/x
  3. Step 3: Cross multiply
    358,822x = 845,844 × 845,844
  4. Step 4: Simplify right side
    358,822x = 715,452,072,336
  5. Step 5: Solve for x
    x = 715,452,072,336/358,822
  6. Step 6: Final answer
    x = 1,993,891.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.