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Finding the Third Proportional to 195,896 and 439,728

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Solution

The third proportional to 195,896 and 439,728 is: 987,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,896 : 439,728 = 439,728 : x
  2. Step 2: Convert to fraction form
    195,896/439,728 = 439,728/x
  3. Step 3: Cross multiply
    195,896x = 439,728 × 439,728
  4. Step 4: Simplify right side
    195,896x = 193,360,713,984
  5. Step 5: Solve for x
    x = 193,360,713,984/195,896
  6. Step 6: Final answer
    x = 987,058.00

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.