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Finding the Third Proportional to 207,145 and 453,827

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Solution

The third proportional to 207,145 and 453,827 is: 994,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,145 : 453,827 = 453,827 : x
  2. Step 2: Convert to fraction form
    207,145/453,827 = 453,827/x
  3. Step 3: Cross multiply
    207,145x = 453,827 × 453,827
  4. Step 4: Simplify right side
    207,145x = 205,958,945,929
  5. Step 5: Solve for x
    x = 205,958,945,929/207,145
  6. Step 6: Final answer
    x = 994,274.28

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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.