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Finding the Third Proportional to 324,473,814 and 494,883,300

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Solution

The third proportional to 324,473,814 and 494,883,300 is: 754,789,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,473,814 : 494,883,300 = 494,883,300 : x
  2. Step 2: Convert to fraction form
    324,473,814/494,883,300 = 494,883,300/x
  3. Step 3: Cross multiply
    324,473,814x = 494,883,300 × 494,883,300
  4. Step 4: Simplify right side
    324,473,814x = 244,909,480,618,889,984
  5. Step 5: Solve for x
    x = 244,909,480,618,889,984/324,473,814
  6. Step 6: Final answer
    x = 754,789,662.68

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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.