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Finding the Third Proportional to 296,026.50 and 622,998

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Solution

The third proportional to 296,026.50 and 622,998 is: 1,311,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,026.50 : 622,998 = 622,998 : x
  2. Step 2: Convert to fraction form
    296,026.50/622,998 = 622,998/x
  3. Step 3: Cross multiply
    296,026.50x = 622,998 × 622,998
  4. Step 4: Simplify right side
    296,026.50x = 388,126,508,004
  5. Step 5: Solve for x
    x = 388,126,508,004/296,026.50
  6. Step 6: Final answer
    x = 1,311,120.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.