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Finding the Third Proportional to 275,938,832 and 600,866,464

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Solution

The third proportional to 275,938,832 and 600,866,464 is: 1,308,407,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,938,832 : 600,866,464 = 600,866,464 : x
  2. Step 2: Convert to fraction form
    275,938,832/600,866,464 = 600,866,464/x
  3. Step 3: Cross multiply
    275,938,832x = 600,866,464 × 600,866,464
  4. Step 4: Simplify right side
    275,938,832x = 361,040,507,559,863,296
  5. Step 5: Solve for x
    x = 361,040,507,559,863,296/275,938,832
  6. Step 6: Final answer
    x = 1,308,407,754.51

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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.