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Finding the Third Proportional to 398,548 and 845,696

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Solution

The third proportional to 398,548 and 845,696 is: 1,794,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,548 : 845,696 = 845,696 : x
  2. Step 2: Convert to fraction form
    398,548/845,696 = 845,696/x
  3. Step 3: Cross multiply
    398,548x = 845,696 × 845,696
  4. Step 4: Simplify right side
    398,548x = 715,201,724,416
  5. Step 5: Solve for x
    x = 715,201,724,416/398,548
  6. Step 6: Final answer
    x = 1,794,518.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.