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Finding the Third Proportional to 353,541 and 768,556.50

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Solution

The third proportional to 353,541 and 768,556.50 is: 1,670,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,541 : 768,556.50 = 768,556.50 : x
  2. Step 2: Convert to fraction form
    353,541/768,556.50 = 768,556.50/x
  3. Step 3: Cross multiply
    353,541x = 768,556.50 × 768,556.50
  4. Step 4: Simplify right side
    353,541x = 590,679,093,692.25
  5. Step 5: Solve for x
    x = 590,679,093,692.25/353,541
  6. Step 6: Final answer
    x = 1,670,751.32

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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.