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Finding the Third Proportional to 320,259,307 and 699,242,966

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Solution

The third proportional to 320,259,307 and 699,242,966 is: 1,526,702,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,259,307 : 699,242,966 = 699,242,966 : x
  2. Step 2: Convert to fraction form
    320,259,307/699,242,966 = 699,242,966/x
  3. Step 3: Cross multiply
    320,259,307x = 699,242,966 × 699,242,966
  4. Step 4: Simplify right side
    320,259,307x = 488,940,725,500,477,184
  5. Step 5: Solve for x
    x = 488,940,725,500,477,184/320,259,307
  6. Step 6: Final answer
    x = 1,526,702,627.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.