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Finding the Third Proportional to 682,556.63 and 1,010,405.25

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Solution

The third proportional to 682,556.63 and 1,010,405.25 is: 1,495,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,556.63 : 1,010,405.25 = 1,010,405.25 : x
  2. Step 2: Convert to fraction form
    682,556.63/1,010,405.25 = 1,010,405.25/x
  3. Step 3: Cross multiply
    682,556.63x = 1,010,405.25 × 1,010,405.25
  4. Step 4: Simplify right side
    682,556.63x = 1,020,918,769,227.56
  5. Step 5: Solve for x
    x = 1,020,918,769,227.56/682,556.63
  6. Step 6: Final answer
    x = 1,495,727.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.