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Finding the Third Proportional to 320,614,758 and 700,258,824

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Solution

The third proportional to 320,614,758 and 700,258,824 is: 1,529,444,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,614,758 : 700,258,824 = 700,258,824 : x
  2. Step 2: Convert to fraction form
    320,614,758/700,258,824 = 700,258,824/x
  3. Step 3: Cross multiply
    320,614,758x = 700,258,824 × 700,258,824
  4. Step 4: Simplify right side
    320,614,758x = 490,362,420,589,862,976
  5. Step 5: Solve for x
    x = 490,362,420,589,862,976/320,614,758
  6. Step 6: Final answer
    x = 1,529,444,320.18

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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.