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Finding the Third Proportional to 304,614,512 and 464,064,024

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Solution

The third proportional to 304,614,512 and 464,064,024 is: 706,976,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614,512 : 464,064,024 = 464,064,024 : x
  2. Step 2: Convert to fraction form
    304,614,512/464,064,024 = 464,064,024/x
  3. Step 3: Cross multiply
    304,614,512x = 464,064,024 × 464,064,024
  4. Step 4: Simplify right side
    304,614,512x = 215,355,418,371,072,576
  5. Step 5: Solve for x
    x = 215,355,418,371,072,576/304,614,512
  6. Step 6: Final answer
    x = 706,976,883.53

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Why These Related Problems?

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