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Finding the Third Proportional to 299,704.50 and 627,111

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Solution

The third proportional to 299,704.50 and 627,111 is: 1,312,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,704.50 : 627,111 = 627,111 : x
  2. Step 2: Convert to fraction form
    299,704.50/627,111 = 627,111/x
  3. Step 3: Cross multiply
    299,704.50x = 627,111 × 627,111
  4. Step 4: Simplify right side
    299,704.50x = 393,268,206,321
  5. Step 5: Solve for x
    x = 393,268,206,321/299,704.50
  6. Step 6: Final answer
    x = 1,312,186.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.