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Finding the Third Proportional to 300,894 and 648,810

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Solution

The third proportional to 300,894 and 648,810 is: 1,399,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,894 : 648,810 = 648,810 : x
  2. Step 2: Convert to fraction form
    300,894/648,810 = 648,810/x
  3. Step 3: Cross multiply
    300,894x = 648,810 × 648,810
  4. Step 4: Simplify right side
    300,894x = 420,954,416,100
  5. Step 5: Solve for x
    x = 420,954,416,100/300,894
  6. Step 6: Final answer
    x = 1,399,012.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.