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Finding the Third Proportional to 250,176 and 578,676

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Solution

The third proportional to 250,176 and 578,676 is: 1,338,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,176 : 578,676 = 578,676 : x
  2. Step 2: Convert to fraction form
    250,176/578,676 = 578,676/x
  3. Step 3: Cross multiply
    250,176x = 578,676 × 578,676
  4. Step 4: Simplify right side
    250,176x = 334,865,912,976
  5. Step 5: Solve for x
    x = 334,865,912,976/250,176
  6. Step 6: Final answer
    x = 1,338,521.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.