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Finding the Third Proportional to 368,514 and 799,236

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Solution

The third proportional to 368,514 and 799,236 is: 1,733,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,514 : 799,236 = 799,236 : x
  2. Step 2: Convert to fraction form
    368,514/799,236 = 799,236/x
  3. Step 3: Cross multiply
    368,514x = 799,236 × 799,236
  4. Step 4: Simplify right side
    368,514x = 638,778,183,696
  5. Step 5: Solve for x
    x = 638,778,183,696/368,514
  6. Step 6: Final answer
    x = 1,733,389.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.