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Finding the Third Proportional to 259,065,930 and 370,467,125

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Solution

The third proportional to 259,065,930 and 370,467,125 is: 529,772,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,065,930 : 370,467,125 = 370,467,125 : x
  2. Step 2: Convert to fraction form
    259,065,930/370,467,125 = 370,467,125/x
  3. Step 3: Cross multiply
    259,065,930x = 370,467,125 × 370,467,125
  4. Step 4: Simplify right side
    259,065,930x = 137,245,890,705,765,632
  5. Step 5: Solve for x
    x = 137,245,890,705,765,632/259,065,930
  6. Step 6: Final answer
    x = 529,772,057.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.