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Finding the Third Proportional to 631,424 and 965,928

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Solution

The third proportional to 631,424 and 965,928 is: 1,477,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,424 : 965,928 = 965,928 : x
  2. Step 2: Convert to fraction form
    631,424/965,928 = 965,928/x
  3. Step 3: Cross multiply
    631,424x = 965,928 × 965,928
  4. Step 4: Simplify right side
    631,424x = 933,016,901,184
  5. Step 5: Solve for x
    x = 933,016,901,184/631,424
  6. Step 6: Final answer
    x = 1,477,639.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.