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Finding the Third Proportional to 354,283,840.13 and 498,692,313.38

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Solution

The third proportional to 354,283,840.13 and 498,692,313.38 is: 701,962,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,283,840.13 : 498,692,313.38 = 498,692,313.38 : x
  2. Step 2: Convert to fraction form
    354,283,840.13/498,692,313.38 = 498,692,313.38/x
  3. Step 3: Cross multiply
    354,283,840.13x = 498,692,313.38 × 498,692,313.38
  4. Step 4: Simplify right side
    354,283,840.13x = 248,694,023,419,309,216
  5. Step 5: Solve for x
    x = 248,694,023,419,309,216/354,283,840.13
  6. Step 6: Final answer
    x = 701,962,650.43

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Why These Related Problems?

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