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Finding the Third Proportional to 379,230.19 and 812,431.69

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Solution

The third proportional to 379,230.19 and 812,431.69 is: 1,740,487.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,230.19 : 812,431.69 = 812,431.69 : x
  2. Step 2: Convert to fraction form
    379,230.19/812,431.69 = 812,431.69/x
  3. Step 3: Cross multiply
    379,230.19x = 812,431.69 × 812,431.69
  4. Step 4: Simplify right side
    379,230.19x = 660,045,246,854.10
  5. Step 5: Solve for x
    x = 660,045,246,854.10/379,230.19
  6. Step 6: Final answer
    x = 1,740,487.09

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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.