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Finding the Third Proportional to 631,408 and 962,871

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Solution

The third proportional to 631,408 and 962,871 is: 1,468,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,408 : 962,871 = 962,871 : x
  2. Step 2: Convert to fraction form
    631,408/962,871 = 962,871/x
  3. Step 3: Cross multiply
    631,408x = 962,871 × 962,871
  4. Step 4: Simplify right side
    631,408x = 927,120,562,641
  5. Step 5: Solve for x
    x = 927,120,562,641/631,408
  6. Step 6: Final answer
    x = 1,468,338.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.