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Finding the Third Proportional to 210,326 and 456,007

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Solution

The third proportional to 210,326 and 456,007 is: 988,667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,326 : 456,007 = 456,007 : x
  2. Step 2: Convert to fraction form
    210,326/456,007 = 456,007/x
  3. Step 3: Cross multiply
    210,326x = 456,007 × 456,007
  4. Step 4: Simplify right side
    210,326x = 207,942,384,049
  5. Step 5: Solve for x
    x = 207,942,384,049/210,326
  6. Step 6: Final answer
    x = 988,667.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.