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Finding the Third Proportional to 320,614,775 and 700,258,857

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Solution

The third proportional to 320,614,775 and 700,258,857 is: 1,529,444,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,614,775 : 700,258,857 = 700,258,857 : x
  2. Step 2: Convert to fraction form
    320,614,775/700,258,857 = 700,258,857/x
  3. Step 3: Cross multiply
    320,614,775x = 700,258,857 × 700,258,857
  4. Step 4: Simplify right side
    320,614,775x = 490,362,466,806,946,432
  5. Step 5: Solve for x
    x = 490,362,466,806,946,432/320,614,775
  6. Step 6: Final answer
    x = 1,529,444,383.24

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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.