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Finding the Third Proportional to 379,368.56 and 793,812.38

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Solution

The third proportional to 379,368.56 and 793,812.38 is: 1,661,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,368.56 : 793,812.38 = 793,812.38 : x
  2. Step 2: Convert to fraction form
    379,368.56/793,812.38 = 793,812.38/x
  3. Step 3: Cross multiply
    379,368.56x = 793,812.38 × 793,812.38
  4. Step 4: Simplify right side
    379,368.56x = 630,138,086,703.14
  5. Step 5: Solve for x
    x = 630,138,086,703.14/379,368.56
  6. Step 6: Final answer
    x = 1,661,018.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.