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Finding the Third Proportional to 348,675,808.50 and 758,639,997

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Solution

The third proportional to 348,675,808.50 and 758,639,997 is: 1,650,629,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,675,808.50 : 758,639,997 = 758,639,997 : x
  2. Step 2: Convert to fraction form
    348,675,808.50/758,639,997 = 758,639,997/x
  3. Step 3: Cross multiply
    348,675,808.50x = 758,639,997 × 758,639,997
  4. Step 4: Simplify right side
    348,675,808.50x = 575,534,645,048,160,000
  5. Step 5: Solve for x
    x = 575,534,645,048,160,000/348,675,808.50
  6. Step 6: Final answer
    x = 1,650,629,699.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.