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Finding the Third Proportional to 290,713,441 and 446,846,694

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Solution

The third proportional to 290,713,441 and 446,846,694 is: 686,834,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,713,441 : 446,846,694 = 446,846,694 : x
  2. Step 2: Convert to fraction form
    290,713,441/446,846,694 = 446,846,694/x
  3. Step 3: Cross multiply
    290,713,441x = 446,846,694 × 446,846,694
  4. Step 4: Simplify right side
    290,713,441x = 199,671,967,938,729,632
  5. Step 5: Solve for x
    x = 199,671,967,938,729,632/290,713,441
  6. Step 6: Final answer
    x = 686,834,317.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.