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Finding the Third Proportional to 320,259,324 and 699,242,996

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Solution

The third proportional to 320,259,324 and 699,242,996 is: 1,526,702,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,259,324 : 699,242,996 = 699,242,996 : x
  2. Step 2: Convert to fraction form
    320,259,324/699,242,996 = 699,242,996/x
  3. Step 3: Cross multiply
    320,259,324x = 699,242,996 × 699,242,996
  4. Step 4: Simplify right side
    320,259,324x = 488,940,767,455,056,000
  5. Step 5: Solve for x
    x = 488,940,767,455,056,000/320,259,324
  6. Step 6: Final answer
    x = 1,526,702,677.53

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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.