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Finding the Third Proportional to 580,556 and 879,582

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Solution

The third proportional to 580,556 and 879,582 is: 1,332,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,556 : 879,582 = 879,582 : x
  2. Step 2: Convert to fraction form
    580,556/879,582 = 879,582/x
  3. Step 3: Cross multiply
    580,556x = 879,582 × 879,582
  4. Step 4: Simplify right side
    580,556x = 773,664,494,724
  5. Step 5: Solve for x
    x = 773,664,494,724/580,556
  6. Step 6: Final answer
    x = 1,332,626.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.