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Finding the Third Proportional to 579,840 and 884,760

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Solution

The third proportional to 579,840 and 884,760 is: 1,350,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,840 : 884,760 = 884,760 : x
  2. Step 2: Convert to fraction form
    579,840/884,760 = 884,760/x
  3. Step 3: Cross multiply
    579,840x = 884,760 × 884,760
  4. Step 4: Simplify right side
    579,840x = 782,800,257,600
  5. Step 5: Solve for x
    x = 782,800,257,600/579,840
  6. Step 6: Final answer
    x = 1,350,028.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.