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Finding the Third Proportional to 259,950,801 and 403,809,309

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Solution

The third proportional to 259,950,801 and 403,809,309 is: 627,280,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,950,801 : 403,809,309 = 403,809,309 : x
  2. Step 2: Convert to fraction form
    259,950,801/403,809,309 = 403,809,309/x
  3. Step 3: Cross multiply
    259,950,801x = 403,809,309 × 403,809,309
  4. Step 4: Simplify right side
    259,950,801x = 163,061,958,035,057,472
  5. Step 5: Solve for x
    x = 163,061,958,035,057,472/259,950,801
  6. Step 6: Final answer
    x = 627,280,075.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.