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Finding the Third Proportional to 280,285,413.75 and 613,355,788.69

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Solution

The third proportional to 280,285,413.75 and 613,355,788.69 is: 1,342,222,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,285,413.75 : 613,355,788.69 = 613,355,788.69 : x
  2. Step 2: Convert to fraction form
    280,285,413.75/613,355,788.69 = 613,355,788.69/x
  3. Step 3: Cross multiply
    280,285,413.75x = 613,355,788.69 × 613,355,788.69
  4. Step 4: Simplify right side
    280,285,413.75x = 376,205,323,516,465,152
  5. Step 5: Solve for x
    x = 376,205,323,516,465,152/280,285,413.75
  6. Step 6: Final answer
    x = 1,342,222,267.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.