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Finding the Third Proportional to 306,105 and 714,804.75

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Solution

The third proportional to 306,105 and 714,804.75 is: 1,669,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,105 : 714,804.75 = 714,804.75 : x
  2. Step 2: Convert to fraction form
    306,105/714,804.75 = 714,804.75/x
  3. Step 3: Cross multiply
    306,105x = 714,804.75 × 714,804.75
  4. Step 4: Simplify right side
    306,105x = 510,945,830,622.56
  5. Step 5: Solve for x
    x = 510,945,830,622.56/306,105
  6. Step 6: Final answer
    x = 1,669,184.86

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.