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Finding the Third Proportional to 334,396,971 and 516,505,721

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Solution

The third proportional to 334,396,971 and 516,505,721 is: 797,788,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,396,971 : 516,505,721 = 516,505,721 : x
  2. Step 2: Convert to fraction form
    334,396,971/516,505,721 = 516,505,721/x
  3. Step 3: Cross multiply
    334,396,971x = 516,505,721 × 516,505,721
  4. Step 4: Simplify right side
    334,396,971x = 266,778,159,825,729,856
  5. Step 5: Solve for x
    x = 266,778,159,825,729,856/334,396,971
  6. Step 6: Final answer
    x = 797,788,804.81

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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.