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Finding the Third Proportional to 338,080,512 and 507,928,320

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Solution

The third proportional to 338,080,512 and 507,928,320 is: 763,105,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,080,512 : 507,928,320 = 507,928,320 : x
  2. Step 2: Convert to fraction form
    338,080,512/507,928,320 = 507,928,320/x
  3. Step 3: Cross multiply
    338,080,512x = 507,928,320 × 507,928,320
  4. Step 4: Simplify right side
    338,080,512x = 257,991,178,258,022,400
  5. Step 5: Solve for x
    x = 257,991,178,258,022,400/338,080,512
  6. Step 6: Final answer
    x = 763,105,736.95

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