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Finding the Third Proportional to 296,788,619 and 395,673,240

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Solution

The third proportional to 296,788,619 and 395,673,240 is: 527,504,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,788,619 : 395,673,240 = 395,673,240 : x
  2. Step 2: Convert to fraction form
    296,788,619/395,673,240 = 395,673,240/x
  3. Step 3: Cross multiply
    296,788,619x = 395,673,240 × 395,673,240
  4. Step 4: Simplify right side
    296,788,619x = 156,557,312,852,097,600
  5. Step 5: Solve for x
    x = 156,557,312,852,097,600/296,788,619
  6. Step 6: Final answer
    x = 527,504,435.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.