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Finding the Third Proportional to 323,812,517.63 and 497,415,634.88

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Solution

The third proportional to 323,812,517.63 and 497,415,634.88 is: 764,091,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,812,517.63 : 497,415,634.88 = 497,415,634.88 : x
  2. Step 2: Convert to fraction form
    323,812,517.63/497,415,634.88 = 497,415,634.88/x
  3. Step 3: Cross multiply
    323,812,517.63x = 497,415,634.88 × 497,415,634.88
  4. Step 4: Simplify right side
    323,812,517.63x = 247,422,313,818,099,328
  5. Step 5: Solve for x
    x = 247,422,313,818,099,328/323,812,517.63
  6. Step 6: Final answer
    x = 764,091,257.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.