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Finding the Third Proportional to 401,153 and 874,252

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Solution

The third proportional to 401,153 and 874,252 is: 1,905,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,153 : 874,252 = 874,252 : x
  2. Step 2: Convert to fraction form
    401,153/874,252 = 874,252/x
  3. Step 3: Cross multiply
    401,153x = 874,252 × 874,252
  4. Step 4: Simplify right side
    401,153x = 764,316,559,504
  5. Step 5: Solve for x
    x = 764,316,559,504/401,153
  6. Step 6: Final answer
    x = 1,905,299.37

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Why These Related Problems?

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