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Finding the Third Proportional to 296,910 and 622,996

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Solution

The third proportional to 296,910 and 622,996 is: 1,307,210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,910 : 622,996 = 622,996 : x
  2. Step 2: Convert to fraction form
    296,910/622,996 = 622,996/x
  3. Step 3: Cross multiply
    296,910x = 622,996 × 622,996
  4. Step 4: Simplify right side
    296,910x = 388,124,016,016
  5. Step 5: Solve for x
    x = 388,124,016,016/296,910
  6. Step 6: Final answer
    x = 1,307,210.99

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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.