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Finding the Third Proportional to 354,903.75 and 774,036

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Solution

The third proportional to 354,903.75 and 774,036 is: 1,688,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,903.75 : 774,036 = 774,036 : x
  2. Step 2: Convert to fraction form
    354,903.75/774,036 = 774,036/x
  3. Step 3: Cross multiply
    354,903.75x = 774,036 × 774,036
  4. Step 4: Simplify right side
    354,903.75x = 599,131,729,296
  5. Step 5: Solve for x
    x = 599,131,729,296/354,903.75
  6. Step 6: Final answer
    x = 1,688,152.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.