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Finding the Third Proportional to 685,219.50 and 1,027,890

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Solution

The third proportional to 685,219.50 and 1,027,890 is: 1,541,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,219.50 : 1,027,890 = 1,027,890 : x
  2. Step 2: Convert to fraction form
    685,219.50/1,027,890 = 1,027,890/x
  3. Step 3: Cross multiply
    685,219.50x = 1,027,890 × 1,027,890
  4. Step 4: Simplify right side
    685,219.50x = 1,056,557,852,100
  5. Step 5: Solve for x
    x = 1,056,557,852,100/685,219.50
  6. Step 6: Final answer
    x = 1,541,926.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.