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Finding the Third Proportional to 290,040,396 and 460,022,085

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Solution

The third proportional to 290,040,396 and 460,022,085 is: 729,623,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,040,396 : 460,022,085 = 460,022,085 : x
  2. Step 2: Convert to fraction form
    290,040,396/460,022,085 = 460,022,085/x
  3. Step 3: Cross multiply
    290,040,396x = 460,022,085 × 460,022,085
  4. Step 4: Simplify right side
    290,040,396x = 211,620,318,687,747,232
  5. Step 5: Solve for x
    x = 211,620,318,687,747,232/290,040,396
  6. Step 6: Final answer
    x = 729,623,602.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.