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Finding the Third Proportional to 362,000 and 779,236

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Solution

The third proportional to 362,000 and 779,236 is: 1,677,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,000 : 779,236 = 779,236 : x
  2. Step 2: Convert to fraction form
    362,000/779,236 = 779,236/x
  3. Step 3: Cross multiply
    362,000x = 779,236 × 779,236
  4. Step 4: Simplify right side
    362,000x = 607,208,743,696
  5. Step 5: Solve for x
    x = 607,208,743,696/362,000
  6. Step 6: Final answer
    x = 1,677,372.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.