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Finding the Third Proportional to 211,366.13 and 460,662.75

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Solution

The third proportional to 211,366.13 and 460,662.75 is: 1,003,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,366.13 : 460,662.75 = 460,662.75 : x
  2. Step 2: Convert to fraction form
    211,366.13/460,662.75 = 460,662.75/x
  3. Step 3: Cross multiply
    211,366.13x = 460,662.75 × 460,662.75
  4. Step 4: Simplify right side
    211,366.13x = 212,210,169,237.56
  5. Step 5: Solve for x
    x = 212,210,169,237.56/211,366.13
  6. Step 6: Final answer
    x = 1,003,993.28

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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.