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Finding the Third Proportional to 401,158.50 and 874,263

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Solution

The third proportional to 401,158.50 and 874,263 is: 1,905,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,158.50 : 874,263 = 874,263 : x
  2. Step 2: Convert to fraction form
    401,158.50/874,263 = 874,263/x
  3. Step 3: Cross multiply
    401,158.50x = 874,263 × 874,263
  4. Step 4: Simplify right side
    401,158.50x = 764,335,793,169
  5. Step 5: Solve for x
    x = 764,335,793,169/401,158.50
  6. Step 6: Final answer
    x = 1,905,321.20

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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.