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Finding the Third Proportional to 214,451.30 and 464,206.57

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Solution

The third proportional to 214,451.30 and 464,206.57 is: 1,004,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,451.30 : 464,206.57 = 464,206.57 : x
  2. Step 2: Convert to fraction form
    214,451.30/464,206.57 = 464,206.57/x
  3. Step 3: Cross multiply
    214,451.30x = 464,206.57 × 464,206.57
  4. Step 4: Simplify right side
    214,451.30x = 215,487,739,921.29
  5. Step 5: Solve for x
    x = 215,487,739,921.29/214,451.30
  6. Step 6: Final answer
    x = 1,004,833.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.