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Finding the Third Proportional to 517,144 and 798,768

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Solution

The third proportional to 517,144 and 798,768 is: 1,233,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,144 : 798,768 = 798,768 : x
  2. Step 2: Convert to fraction form
    517,144/798,768 = 798,768/x
  3. Step 3: Cross multiply
    517,144x = 798,768 × 798,768
  4. Step 4: Simplify right side
    517,144x = 638,030,317,824
  5. Step 5: Solve for x
    x = 638,030,317,824/517,144
  6. Step 6: Final answer
    x = 1,233,757.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.