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Finding the Third Proportional to 600,466.50 and 1,305,909

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Solution

The third proportional to 600,466.50 and 1,305,909 is: 2,840,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,466.50 : 1,305,909 = 1,305,909 : x
  2. Step 2: Convert to fraction form
    600,466.50/1,305,909 = 1,305,909/x
  3. Step 3: Cross multiply
    600,466.50x = 1,305,909 × 1,305,909
  4. Step 4: Simplify right side
    600,466.50x = 1,705,398,316,281
  5. Step 5: Solve for x
    x = 1,705,398,316,281/600,466.50
  6. Step 6: Final answer
    x = 2,840,122.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.