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Finding the Third Proportional to 290,040,390 and 460,022,076

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Solution

The third proportional to 290,040,390 and 460,022,076 is: 729,623,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,040,390 : 460,022,076 = 460,022,076 : x
  2. Step 2: Convert to fraction form
    290,040,390/460,022,076 = 460,022,076/x
  3. Step 3: Cross multiply
    290,040,390x = 460,022,076 × 460,022,076
  4. Step 4: Simplify right side
    290,040,390x = 211,620,310,407,349,760
  5. Step 5: Solve for x
    x = 211,620,310,407,349,760/290,040,390
  6. Step 6: Final answer
    x = 729,623,589.35

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