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Finding the Third Proportional to 401,161.50 and 874,269

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Solution

The third proportional to 401,161.50 and 874,269 is: 1,905,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,161.50 : 874,269 = 874,269 : x
  2. Step 2: Convert to fraction form
    401,161.50/874,269 = 874,269/x
  3. Step 3: Cross multiply
    401,161.50x = 874,269 × 874,269
  4. Step 4: Simplify right side
    401,161.50x = 764,346,284,361
  5. Step 5: Solve for x
    x = 764,346,284,361/401,161.50
  6. Step 6: Final answer
    x = 1,905,333.10

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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.