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Finding the Third Proportional to 255,079,125 and 382,552,254

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Solution

The third proportional to 255,079,125 and 382,552,254 is: 573,728,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,079,125 : 382,552,254 = 382,552,254 : x
  2. Step 2: Convert to fraction form
    255,079,125/382,552,254 = 382,552,254/x
  3. Step 3: Cross multiply
    255,079,125x = 382,552,254 × 382,552,254
  4. Step 4: Simplify right side
    255,079,125x = 146,346,227,040,480,512
  5. Step 5: Solve for x
    x = 146,346,227,040,480,512/255,079,125
  6. Step 6: Final answer
    x = 573,728,748.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.