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Finding the Third Proportional to 349,112.50 and 751,685

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Solution

The third proportional to 349,112.50 and 751,685 is: 1,618,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,112.50 : 751,685 = 751,685 : x
  2. Step 2: Convert to fraction form
    349,112.50/751,685 = 751,685/x
  3. Step 3: Cross multiply
    349,112.50x = 751,685 × 751,685
  4. Step 4: Simplify right side
    349,112.50x = 565,030,339,225
  5. Step 5: Solve for x
    x = 565,030,339,225/349,112.50
  6. Step 6: Final answer
    x = 1,618,476.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.