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Finding the Third Proportional to 446,580 and 870,608.25

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Solution

The third proportional to 446,580 and 870,608.25 is: 1,697,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,580 : 870,608.25 = 870,608.25 : x
  2. Step 2: Convert to fraction form
    446,580/870,608.25 = 870,608.25/x
  3. Step 3: Cross multiply
    446,580x = 870,608.25 × 870,608.25
  4. Step 4: Simplify right side
    446,580x = 757,958,724,968.06
  5. Step 5: Solve for x
    x = 757,958,724,968.06/446,580
  6. Step 6: Final answer
    x = 1,697,251.84

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.