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Finding the Third Proportional to 391,033.50 and 856,810.50

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Solution

The third proportional to 391,033.50 and 856,810.50 is: 1,877,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,033.50 : 856,810.50 = 856,810.50 : x
  2. Step 2: Convert to fraction form
    391,033.50/856,810.50 = 856,810.50/x
  3. Step 3: Cross multiply
    391,033.50x = 856,810.50 × 856,810.50
  4. Step 4: Simplify right side
    391,033.50x = 734,124,232,910.25
  5. Step 5: Solve for x
    x = 734,124,232,910.25/391,033.50
  6. Step 6: Final answer
    x = 1,877,394.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.