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Finding the Third Proportional to 325,541 and 709,888

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Solution

The third proportional to 325,541 and 709,888 is: 1,548,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,541 : 709,888 = 709,888 : x
  2. Step 2: Convert to fraction form
    325,541/709,888 = 709,888/x
  3. Step 3: Cross multiply
    325,541x = 709,888 × 709,888
  4. Step 4: Simplify right side
    325,541x = 503,940,972,544
  5. Step 5: Solve for x
    x = 503,940,972,544/325,541
  6. Step 6: Final answer
    x = 1,548,010.77

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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.