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Finding the Third Proportional to 753,424 and 963,923

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Solution

The third proportional to 753,424 and 963,923 is: 1,233,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,424 : 963,923 = 963,923 : x
  2. Step 2: Convert to fraction form
    753,424/963,923 = 963,923/x
  3. Step 3: Cross multiply
    753,424x = 963,923 × 963,923
  4. Step 4: Simplify right side
    753,424x = 929,147,549,929
  5. Step 5: Solve for x
    x = 929,147,549,929/753,424
  6. Step 6: Final answer
    x = 1,233,233.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.