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Finding the Third Proportional to 334,396,712 and 516,505,212

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Solution

The third proportional to 334,396,712 and 516,505,212 is: 797,787,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,396,712 : 516,505,212 = 516,505,212 : x
  2. Step 2: Convert to fraction form
    334,396,712/516,505,212 = 516,505,212/x
  3. Step 3: Cross multiply
    334,396,712x = 516,505,212 × 516,505,212
  4. Step 4: Simplify right side
    334,396,712x = 266,777,634,023,164,928
  5. Step 5: Solve for x
    x = 266,777,634,023,164,928/334,396,712
  6. Step 6: Final answer
    x = 797,787,850.33

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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.