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Finding the Third Proportional to 296,896 and 622,968

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Solution

The third proportional to 296,896 and 622,968 is: 1,307,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,896 : 622,968 = 622,968 : x
  2. Step 2: Convert to fraction form
    296,896/622,968 = 622,968/x
  3. Step 3: Cross multiply
    296,896x = 622,968 × 622,968
  4. Step 4: Simplify right side
    296,896x = 388,089,129,024
  5. Step 5: Solve for x
    x = 388,089,129,024/296,896
  6. Step 6: Final answer
    x = 1,307,155.13

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Why These Related Problems?

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