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Finding the Third Proportional to 351,601,570 and 517,241,067

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Solution

The third proportional to 351,601,570 and 517,241,067 is: 760,913,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,601,570 : 517,241,067 = 517,241,067 : x
  2. Step 2: Convert to fraction form
    351,601,570/517,241,067 = 517,241,067/x
  3. Step 3: Cross multiply
    351,601,570x = 517,241,067 × 517,241,067
  4. Step 4: Simplify right side
    351,601,570x = 267,538,321,391,298,496
  5. Step 5: Solve for x
    x = 267,538,321,391,298,496/351,601,570
  6. Step 6: Final answer
    x = 760,913,329.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.