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Finding the Third Proportional to 379,405.69 and 812,897.25

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Solution

The third proportional to 379,405.69 and 812,897.25 is: 1,741,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,405.69 : 812,897.25 = 812,897.25 : x
  2. Step 2: Convert to fraction form
    379,405.69/812,897.25 = 812,897.25/x
  3. Step 3: Cross multiply
    379,405.69x = 812,897.25 × 812,897.25
  4. Step 4: Simplify right side
    379,405.69x = 660,801,939,057.56
  5. Step 5: Solve for x
    x = 660,801,939,057.56/379,405.69
  6. Step 6: Final answer
    x = 1,741,676.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.