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Finding the Third Proportional to 275,578,764 and 408,202,275

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Solution

The third proportional to 275,578,764 and 408,202,275 is: 604,651,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,578,764 : 408,202,275 = 408,202,275 : x
  2. Step 2: Convert to fraction form
    275,578,764/408,202,275 = 408,202,275/x
  3. Step 3: Cross multiply
    275,578,764x = 408,202,275 × 408,202,275
  4. Step 4: Simplify right side
    275,578,764x = 166,629,097,315,175,616
  5. Step 5: Solve for x
    x = 166,629,097,315,175,616/275,578,764
  6. Step 6: Final answer
    x = 604,651,443.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.