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Finding the Third Proportional to 339,777,301.50 and 524,687,086.13

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Solution

The third proportional to 339,777,301.50 and 524,687,086.13 is: 810,226,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,777,301.50 : 524,687,086.13 = 524,687,086.13 : x
  2. Step 2: Convert to fraction form
    339,777,301.50/524,687,086.13 = 524,687,086.13/x
  3. Step 3: Cross multiply
    339,777,301.50x = 524,687,086.13 × 524,687,086.13
  4. Step 4: Simplify right side
    339,777,301.50x = 275,296,538,346,343,168
  5. Step 5: Solve for x
    x = 275,296,538,346,343,168/339,777,301.50
  6. Step 6: Final answer
    x = 810,226,395.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.