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Finding the Third Proportional to 324,473,810 and 494,883,294

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Solution

The third proportional to 324,473,810 and 494,883,294 is: 754,789,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,473,810 : 494,883,294 = 494,883,294 : x
  2. Step 2: Convert to fraction form
    324,473,810/494,883,294 = 494,883,294/x
  3. Step 3: Cross multiply
    324,473,810x = 494,883,294 × 494,883,294
  4. Step 4: Simplify right side
    324,473,810x = 244,909,474,680,290,432
  5. Step 5: Solve for x
    x = 244,909,474,680,290,432/324,473,810
  6. Step 6: Final answer
    x = 754,789,653.69

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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.