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Finding the Third Proportional to 325,774 and 761,172

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Solution

The third proportional to 325,774 and 761,172 is: 1,778,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,774 : 761,172 = 761,172 : x
  2. Step 2: Convert to fraction form
    325,774/761,172 = 761,172/x
  3. Step 3: Cross multiply
    325,774x = 761,172 × 761,172
  4. Step 4: Simplify right side
    325,774x = 579,382,813,584
  5. Step 5: Solve for x
    x = 579,382,813,584/325,774
  6. Step 6: Final answer
    x = 1,778,480.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.