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Finding the Third Proportional to 335,185.50 and 468,858

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Solution

The third proportional to 335,185.50 and 468,858 is: 655,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,185.50 : 468,858 = 468,858 : x
  2. Step 2: Convert to fraction form
    335,185.50/468,858 = 468,858/x
  3. Step 3: Cross multiply
    335,185.50x = 468,858 × 468,858
  4. Step 4: Simplify right side
    335,185.50x = 219,827,824,164
  5. Step 5: Solve for x
    x = 219,827,824,164/335,185.50
  6. Step 6: Final answer
    x = 655,839.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.