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Finding the Third Proportional to 298,641 and 649,770

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Solution

The third proportional to 298,641 and 649,770 is: 1,413,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,641 : 649,770 = 649,770 : x
  2. Step 2: Convert to fraction form
    298,641/649,770 = 649,770/x
  3. Step 3: Cross multiply
    298,641x = 649,770 × 649,770
  4. Step 4: Simplify right side
    298,641x = 422,201,052,900
  5. Step 5: Solve for x
    x = 422,201,052,900/298,641
  6. Step 6: Final answer
    x = 1,413,741.09

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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.