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Finding the Third Proportional to 325,178 and 695,554

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Solution

The third proportional to 325,178 and 695,554 is: 1,487,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,178 : 695,554 = 695,554 : x
  2. Step 2: Convert to fraction form
    325,178/695,554 = 695,554/x
  3. Step 3: Cross multiply
    325,178x = 695,554 × 695,554
  4. Step 4: Simplify right side
    325,178x = 483,795,366,916
  5. Step 5: Solve for x
    x = 483,795,366,916/325,178
  6. Step 6: Final answer
    x = 1,487,786.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.