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Finding the Third Proportional to 473,231.25 and 688,245.75

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Solution

The third proportional to 473,231.25 and 688,245.75 is: 1,000,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,231.25 : 688,245.75 = 688,245.75 : x
  2. Step 2: Convert to fraction form
    473,231.25/688,245.75 = 688,245.75/x
  3. Step 3: Cross multiply
    473,231.25x = 688,245.75 × 688,245.75
  4. Step 4: Simplify right side
    473,231.25x = 473,682,212,393.06
  5. Step 5: Solve for x
    x = 473,682,212,393.06/473,231.25
  6. Step 6: Final answer
    x = 1,000,952.94

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.