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Finding the Third Proportional to 371,454.50 and 814,112

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Solution

The third proportional to 371,454.50 and 814,112 is: 1,784,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,454.50 : 814,112 = 814,112 : x
  2. Step 2: Convert to fraction form
    371,454.50/814,112 = 814,112/x
  3. Step 3: Cross multiply
    371,454.50x = 814,112 × 814,112
  4. Step 4: Simplify right side
    371,454.50x = 662,778,348,544
  5. Step 5: Solve for x
    x = 662,778,348,544/371,454.50
  6. Step 6: Final answer
    x = 1,784,278.69

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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.