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Finding the Third Proportional to 403,760 and 874,404

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Solution

The third proportional to 403,760 and 874,404 is: 1,893,655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,760 : 874,404 = 874,404 : x
  2. Step 2: Convert to fraction form
    403,760/874,404 = 874,404/x
  3. Step 3: Cross multiply
    403,760x = 874,404 × 874,404
  4. Step 4: Simplify right side
    403,760x = 764,582,355,216
  5. Step 5: Solve for x
    x = 764,582,355,216/403,760
  6. Step 6: Final answer
    x = 1,893,655.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.