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Finding the Third Proportional to 304,614,504 and 464,064,012

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Solution

The third proportional to 304,614,504 and 464,064,012 is: 706,976,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614,504 : 464,064,012 = 464,064,012 : x
  2. Step 2: Convert to fraction form
    304,614,504/464,064,012 = 464,064,012/x
  3. Step 3: Cross multiply
    304,614,504x = 464,064,012 × 464,064,012
  4. Step 4: Simplify right side
    304,614,504x = 215,355,407,233,536,128
  5. Step 5: Solve for x
    x = 215,355,407,233,536,128/304,614,504
  6. Step 6: Final answer
    x = 706,976,865.53

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.