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Finding the Third Proportional to 354,283,843 and 498,692,317

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Solution

The third proportional to 354,283,843 and 498,692,317 is: 701,962,654.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,283,843 : 498,692,317 = 498,692,317 : x
  2. Step 2: Convert to fraction form
    354,283,843/498,692,317 = 498,692,317/x
  3. Step 3: Cross multiply
    354,283,843x = 498,692,317 × 498,692,317
  4. Step 4: Simplify right side
    354,283,843x = 248,694,027,034,828,480
  5. Step 5: Solve for x
    x = 248,694,027,034,828,480/354,283,843
  6. Step 6: Final answer
    x = 701,962,654.94

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.