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Finding the Third Proportional to 258,947,508 and 554,738,676

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Solution

The third proportional to 258,947,508 and 554,738,676 is: 1,188,406,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,947,508 : 554,738,676 = 554,738,676 : x
  2. Step 2: Convert to fraction form
    258,947,508/554,738,676 = 554,738,676/x
  3. Step 3: Cross multiply
    258,947,508x = 554,738,676 × 554,738,676
  4. Step 4: Simplify right side
    258,947,508x = 307,734,998,650,232,960
  5. Step 5: Solve for x
    x = 307,734,998,650,232,960/258,947,508
  6. Step 6: Final answer
    x = 1,188,406,874.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.