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Finding the Third Proportional to 304,614,514 and 464,064,027

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Solution

The third proportional to 304,614,514 and 464,064,027 is: 706,976,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614,514 : 464,064,027 = 464,064,027 : x
  2. Step 2: Convert to fraction form
    304,614,514/464,064,027 = 464,064,027/x
  3. Step 3: Cross multiply
    304,614,514x = 464,064,027 × 464,064,027
  4. Step 4: Simplify right side
    304,614,514x = 215,355,421,155,456,736
  5. Step 5: Solve for x
    x = 215,355,421,155,456,736/304,614,514
  6. Step 6: Final answer
    x = 706,976,888.03

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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.