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Finding the Third Proportional to 255,788,966 and 395,906,673

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Solution

The third proportional to 255,788,966 and 395,906,673 is: 612,778,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,788,966 : 395,906,673 = 395,906,673 : x
  2. Step 2: Convert to fraction form
    255,788,966/395,906,673 = 395,906,673/x
  3. Step 3: Cross multiply
    255,788,966x = 395,906,673 × 395,906,673
  4. Step 4: Simplify right side
    255,788,966x = 156,742,093,725,928,928
  5. Step 5: Solve for x
    x = 156,742,093,725,928,928/255,788,966
  6. Step 6: Final answer
    x = 612,778,948.90

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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.