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Finding the Third Proportional to 578,959.50 and 1,256,949

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Solution

The third proportional to 578,959.50 and 1,256,949 is: 2,728,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,959.50 : 1,256,949 = 1,256,949 : x
  2. Step 2: Convert to fraction form
    578,959.50/1,256,949 = 1,256,949/x
  3. Step 3: Cross multiply
    578,959.50x = 1,256,949 × 1,256,949
  4. Step 4: Simplify right side
    578,959.50x = 1,579,920,788,601
  5. Step 5: Solve for x
    x = 1,579,920,788,601/578,959.50
  6. Step 6: Final answer
    x = 2,728,896.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.