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Finding the Third Proportional to 583,872 and 878,400

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Solution

The third proportional to 583,872 and 878,400 is: 1,321,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,872 : 878,400 = 878,400 : x
  2. Step 2: Convert to fraction form
    583,872/878,400 = 878,400/x
  3. Step 3: Cross multiply
    583,872x = 878,400 × 878,400
  4. Step 4: Simplify right side
    583,872x = 771,586,560,000
  5. Step 5: Solve for x
    x = 771,586,560,000/583,872
  6. Step 6: Final answer
    x = 1,321,499.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.