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Finding the Third Proportional to 322,463 and 749,538

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Solution

The third proportional to 322,463 and 749,538 is: 1,742,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,463 : 749,538 = 749,538 : x
  2. Step 2: Convert to fraction form
    322,463/749,538 = 749,538/x
  3. Step 3: Cross multiply
    322,463x = 749,538 × 749,538
  4. Step 4: Simplify right side
    322,463x = 561,807,213,444
  5. Step 5: Solve for x
    x = 561,807,213,444/322,463
  6. Step 6: Final answer
    x = 1,742,237.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.