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Finding the Third Proportional to 441,844 and 700,765

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Solution

The third proportional to 441,844 and 700,765 is: 1,111,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,844 : 700,765 = 700,765 : x
  2. Step 2: Convert to fraction form
    441,844/700,765 = 700,765/x
  3. Step 3: Cross multiply
    441,844x = 700,765 × 700,765
  4. Step 4: Simplify right side
    441,844x = 491,071,585,225
  5. Step 5: Solve for x
    x = 491,071,585,225/441,844
  6. Step 6: Final answer
    x = 1,111,413.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.