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Finding the Third Proportional to 523,914 and 788,928

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Solution

The third proportional to 523,914 and 788,928 is: 1,187,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,914 : 788,928 = 788,928 : x
  2. Step 2: Convert to fraction form
    523,914/788,928 = 788,928/x
  3. Step 3: Cross multiply
    523,914x = 788,928 × 788,928
  4. Step 4: Simplify right side
    523,914x = 622,407,389,184
  5. Step 5: Solve for x
    x = 622,407,389,184/523,914
  6. Step 6: Final answer
    x = 1,187,995.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.