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Finding the Third Proportional to 379,339.50 and 812,800.50

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Solution

The third proportional to 379,339.50 and 812,800.50 is: 1,741,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,339.50 : 812,800.50 = 812,800.50 : x
  2. Step 2: Convert to fraction form
    379,339.50/812,800.50 = 812,800.50/x
  3. Step 3: Cross multiply
    379,339.50x = 812,800.50 × 812,800.50
  4. Step 4: Simplify right side
    379,339.50x = 660,644,652,800.25
  5. Step 5: Solve for x
    x = 660,644,652,800.25/379,339.50
  6. Step 6: Final answer
    x = 1,741,565.68

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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.