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Finding the Third Proportional to 209,327.63 and 458,551.13

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Solution

The third proportional to 209,327.63 and 458,551.13 is: 1,004,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,327.63 : 458,551.13 = 458,551.13 : x
  2. Step 2: Convert to fraction form
    209,327.63/458,551.13 = 458,551.13/x
  3. Step 3: Cross multiply
    209,327.63x = 458,551.13 × 458,551.13
  4. Step 4: Simplify right side
    209,327.63x = 210,269,134,238.77
  5. Step 5: Solve for x
    x = 210,269,134,238.77/209,327.63
  6. Step 6: Final answer
    x = 1,004,497.78

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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.