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Finding the Third Proportional to 295,944 and 647,250

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Solution

The third proportional to 295,944 and 647,250 is: 1,415,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,944 : 647,250 = 647,250 : x
  2. Step 2: Convert to fraction form
    295,944/647,250 = 647,250/x
  3. Step 3: Cross multiply
    295,944x = 647,250 × 647,250
  4. Step 4: Simplify right side
    295,944x = 418,932,562,500
  5. Step 5: Solve for x
    x = 418,932,562,500/295,944
  6. Step 6: Final answer
    x = 1,415,580.52

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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.