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Finding the Third Proportional to 401,097 and 874,162.50

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Solution

The third proportional to 401,097 and 874,162.50 is: 1,905,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,097 : 874,162.50 = 874,162.50 : x
  2. Step 2: Convert to fraction form
    401,097/874,162.50 = 874,162.50/x
  3. Step 3: Cross multiply
    401,097x = 874,162.50 × 874,162.50
  4. Step 4: Simplify right side
    401,097x = 764,160,076,406.25
  5. Step 5: Solve for x
    x = 764,160,076,406.25/401,097
  6. Step 6: Final answer
    x = 1,905,175.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.