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Finding the Third Proportional to 365,888 and 790,096

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Solution

The third proportional to 365,888 and 790,096 is: 1,706,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,888 : 790,096 = 790,096 : x
  2. Step 2: Convert to fraction form
    365,888/790,096 = 790,096/x
  3. Step 3: Cross multiply
    365,888x = 790,096 × 790,096
  4. Step 4: Simplify right side
    365,888x = 624,251,689,216
  5. Step 5: Solve for x
    x = 624,251,689,216/365,888
  6. Step 6: Final answer
    x = 1,706,127.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.