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Finding the Third Proportional to 333,726 and 691,108.50

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Solution

The third proportional to 333,726 and 691,108.50 is: 1,431,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,726 : 691,108.50 = 691,108.50 : x
  2. Step 2: Convert to fraction form
    333,726/691,108.50 = 691,108.50/x
  3. Step 3: Cross multiply
    333,726x = 691,108.50 × 691,108.50
  4. Step 4: Simplify right side
    333,726x = 477,630,958,772.25
  5. Step 5: Solve for x
    x = 477,630,958,772.25/333,726
  6. Step 6: Final answer
    x = 1,431,206.91

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.