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Finding the Third Proportional to 295,840.50 and 647,997

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Solution

The third proportional to 295,840.50 and 647,997 is: 1,419,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,840.50 : 647,997 = 647,997 : x
  2. Step 2: Convert to fraction form
    295,840.50/647,997 = 647,997/x
  3. Step 3: Cross multiply
    295,840.50x = 647,997 × 647,997
  4. Step 4: Simplify right side
    295,840.50x = 419,900,112,009
  5. Step 5: Solve for x
    x = 419,900,112,009/295,840.50
  6. Step 6: Final answer
    x = 1,419,346.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.