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Finding the Third Proportional to 378,334,794 and 570,208,291

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Solution

The third proportional to 378,334,794 and 570,208,291 is: 859,390,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,334,794 : 570,208,291 = 570,208,291 : x
  2. Step 2: Convert to fraction form
    378,334,794/570,208,291 = 570,208,291/x
  3. Step 3: Cross multiply
    378,334,794x = 570,208,291 × 570,208,291
  4. Step 4: Simplify right side
    378,334,794x = 325,137,495,125,140,672
  5. Step 5: Solve for x
    x = 325,137,495,125,140,672/378,334,794
  6. Step 6: Final answer
    x = 859,390,942.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.