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Finding the Third Proportional to 339,580,352 and 727,613,824

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Solution

The third proportional to 339,580,352 and 727,613,824 is: 1,559,047,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,580,352 : 727,613,824 = 727,613,824 : x
  2. Step 2: Convert to fraction form
    339,580,352/727,613,824 = 727,613,824/x
  3. Step 3: Cross multiply
    339,580,352x = 727,613,824 × 727,613,824
  4. Step 4: Simplify right side
    339,580,352x = 529,421,876,875,902,976
  5. Step 5: Solve for x
    x = 529,421,876,875,902,976/339,580,352
  6. Step 6: Final answer
    x = 1,559,047,435.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.