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Finding the Third Proportional to 373,682 and 578,883

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Solution

The third proportional to 373,682 and 578,883 is: 896,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,682 : 578,883 = 578,883 : x
  2. Step 2: Convert to fraction form
    373,682/578,883 = 578,883/x
  3. Step 3: Cross multiply
    373,682x = 578,883 × 578,883
  4. Step 4: Simplify right side
    373,682x = 335,105,527,689
  5. Step 5: Solve for x
    x = 335,105,527,689/373,682
  6. Step 6: Final answer
    x = 896,766.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.