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Finding the Third Proportional to 209,314.13 and 458,524.13

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Solution

The third proportional to 209,314.13 and 458,524.13 is: 1,004,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,314.13 : 458,524.13 = 458,524.13 : x
  2. Step 2: Convert to fraction form
    209,314.13/458,524.13 = 458,524.13/x
  3. Step 3: Cross multiply
    209,314.13x = 458,524.13 × 458,524.13
  4. Step 4: Simplify right side
    209,314.13x = 210,244,373,207.02
  5. Step 5: Solve for x
    x = 210,244,373,207.02/209,314.13
  6. Step 6: Final answer
    x = 1,004,444.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.