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Finding the Third Proportional to 325,164 and 685,752

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Solution

The third proportional to 325,164 and 685,752 is: 1,446,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,164 : 685,752 = 685,752 : x
  2. Step 2: Convert to fraction form
    325,164/685,752 = 685,752/x
  3. Step 3: Cross multiply
    325,164x = 685,752 × 685,752
  4. Step 4: Simplify right side
    325,164x = 470,255,805,504
  5. Step 5: Solve for x
    x = 470,255,805,504/325,164
  6. Step 6: Final answer
    x = 1,446,211.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.