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Finding the Third Proportional to 319,074,302 and 694,053,274

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Solution

The third proportional to 319,074,302 and 694,053,274 is: 1,509,710,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,074,302 : 694,053,274 = 694,053,274 : x
  2. Step 2: Convert to fraction form
    319,074,302/694,053,274 = 694,053,274/x
  3. Step 3: Cross multiply
    319,074,302x = 694,053,274 × 694,053,274
  4. Step 4: Simplify right side
    319,074,302x = 481,709,947,150,119,104
  5. Step 5: Solve for x
    x = 481,709,947,150,119,104/319,074,302
  6. Step 6: Final answer
    x = 1,509,710,885.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.