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Finding the Third Proportional to 305,389.50 and 664,995

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Solution

The third proportional to 305,389.50 and 664,995 is: 1,448,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,389.50 : 664,995 = 664,995 : x
  2. Step 2: Convert to fraction form
    305,389.50/664,995 = 664,995/x
  3. Step 3: Cross multiply
    305,389.50x = 664,995 × 664,995
  4. Step 4: Simplify right side
    305,389.50x = 442,218,350,025
  5. Step 5: Solve for x
    x = 442,218,350,025/305,389.50
  6. Step 6: Final answer
    x = 1,448,047.00

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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.