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Finding the Third Proportional to 352,769,299 and 548,438,367

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Solution

The third proportional to 352,769,299 and 548,438,367 is: 852,638,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,769,299 : 548,438,367 = 548,438,367 : x
  2. Step 2: Convert to fraction form
    352,769,299/548,438,367 = 548,438,367/x
  3. Step 3: Cross multiply
    352,769,299x = 548,438,367 × 548,438,367
  4. Step 4: Simplify right side
    352,769,299x = 300,784,642,397,626,688
  5. Step 5: Solve for x
    x = 300,784,642,397,626,688/352,769,299
  6. Step 6: Final answer
    x = 852,638,376.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.