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Finding the Third Proportional to 333,774 and 739,617

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Solution

The third proportional to 333,774 and 739,617 is: 1,638,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,774 : 739,617 = 739,617 : x
  2. Step 2: Convert to fraction form
    333,774/739,617 = 739,617/x
  3. Step 3: Cross multiply
    333,774x = 739,617 × 739,617
  4. Step 4: Simplify right side
    333,774x = 547,033,306,689
  5. Step 5: Solve for x
    x = 547,033,306,689/333,774
  6. Step 6: Final answer
    x = 1,638,933.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.