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Finding the Third Proportional to 384,959.50 and 794,309.75

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Solution

The third proportional to 384,959.50 and 794,309.75 is: 1,638,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,959.50 : 794,309.75 = 794,309.75 : x
  2. Step 2: Convert to fraction form
    384,959.50/794,309.75 = 794,309.75/x
  3. Step 3: Cross multiply
    384,959.50x = 794,309.75 × 794,309.75
  4. Step 4: Simplify right side
    384,959.50x = 630,927,978,945.06
  5. Step 5: Solve for x
    x = 630,927,978,945.06/384,959.50
  6. Step 6: Final answer
    x = 1,638,946.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.