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Finding the Third Proportional to 298,161 and 648,810

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Solution

The third proportional to 298,161 and 648,810 is: 1,411,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,161 : 648,810 = 648,810 : x
  2. Step 2: Convert to fraction form
    298,161/648,810 = 648,810/x
  3. Step 3: Cross multiply
    298,161x = 648,810 × 648,810
  4. Step 4: Simplify right side
    298,161x = 420,954,416,100
  5. Step 5: Solve for x
    x = 420,954,416,100/298,161
  6. Step 6: Final answer
    x = 1,411,835.94

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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.