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Finding the Third Proportional to 320,259,312 and 699,242,976

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Solution

The third proportional to 320,259,312 and 699,242,976 is: 1,526,702,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,259,312 : 699,242,976 = 699,242,976 : x
  2. Step 2: Convert to fraction form
    320,259,312/699,242,976 = 699,242,976/x
  3. Step 3: Cross multiply
    320,259,312x = 699,242,976 × 699,242,976
  4. Step 4: Simplify right side
    320,259,312x = 488,940,739,485,336,576
  5. Step 5: Solve for x
    x = 488,940,739,485,336,576/320,259,312
  6. Step 6: Final answer
    x = 1,526,702,647.40

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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.