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Finding the Third Proportional to 347,556,399.75 and 524,566,676.81

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Solution

The third proportional to 347,556,399.75 and 524,566,676.81 is: 791,728,187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,556,399.75 : 524,566,676.81 = 524,566,676.81 : x
  2. Step 2: Convert to fraction form
    347,556,399.75/524,566,676.81 = 524,566,676.81/x
  3. Step 3: Cross multiply
    347,556,399.75x = 524,566,676.81 × 524,566,676.81
  4. Step 4: Simplify right side
    347,556,399.75x = 275,170,198,422,109,824
  5. Step 5: Solve for x
    x = 275,170,198,422,109,824/347,556,399.75
  6. Step 6: Final answer
    x = 791,728,187.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.