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Finding the Third Proportional to 324,473,816 and 494,883,303

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Solution

The third proportional to 324,473,816 and 494,883,303 is: 754,789,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,473,816 : 494,883,303 = 494,883,303 : x
  2. Step 2: Convert to fraction form
    324,473,816/494,883,303 = 494,883,303/x
  3. Step 3: Cross multiply
    324,473,816x = 494,883,303 × 494,883,303
  4. Step 4: Simplify right side
    324,473,816x = 244,909,483,588,189,824
  5. Step 5: Solve for x
    x = 244,909,483,588,189,824/324,473,816
  6. Step 6: Final answer
    x = 754,789,667.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.