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Finding the Third Proportional to 288,457,422 and 680,256,675

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Solution

The third proportional to 288,457,422 and 680,256,675 is: 1,604,219,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,457,422 : 680,256,675 = 680,256,675 : x
  2. Step 2: Convert to fraction form
    288,457,422/680,256,675 = 680,256,675/x
  3. Step 3: Cross multiply
    288,457,422x = 680,256,675 × 680,256,675
  4. Step 4: Simplify right side
    288,457,422x = 462,749,143,882,055,616
  5. Step 5: Solve for x
    x = 462,749,143,882,055,616/288,457,422
  6. Step 6: Final answer
    x = 1,604,219,924.98

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.