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Finding the Third Proportional to 325,518 and 713,100

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Solution

The third proportional to 325,518 and 713,100 is: 1,562,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,518 : 713,100 = 713,100 : x
  2. Step 2: Convert to fraction form
    325,518/713,100 = 713,100/x
  3. Step 3: Cross multiply
    325,518x = 713,100 × 713,100
  4. Step 4: Simplify right side
    325,518x = 508,511,610,000
  5. Step 5: Solve for x
    x = 508,511,610,000/325,518
  6. Step 6: Final answer
    x = 1,562,161.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.