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Finding the Third Proportional to 295,686.75 and 449,373.75

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Solution

The third proportional to 295,686.75 and 449,373.75 is: 682,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,686.75 : 449,373.75 = 449,373.75 : x
  2. Step 2: Convert to fraction form
    295,686.75/449,373.75 = 449,373.75/x
  3. Step 3: Cross multiply
    295,686.75x = 449,373.75 × 449,373.75
  4. Step 4: Simplify right side
    295,686.75x = 201,936,767,189.06
  5. Step 5: Solve for x
    x = 201,936,767,189.06/295,686.75
  6. Step 6: Final answer
    x = 682,941.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.