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Finding the Third Proportional to 325,660 and 710,072

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Solution

The third proportional to 325,660 and 710,072 is: 1,548,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,660 : 710,072 = 710,072 : x
  2. Step 2: Convert to fraction form
    325,660/710,072 = 710,072/x
  3. Step 3: Cross multiply
    325,660x = 710,072 × 710,072
  4. Step 4: Simplify right side
    325,660x = 504,202,245,184
  5. Step 5: Solve for x
    x = 504,202,245,184/325,660
  6. Step 6: Final answer
    x = 1,548,247.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.