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Finding the Third Proportional to 210,323 and 452,326

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Solution

The third proportional to 210,323 and 452,326 is: 972,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,323 : 452,326 = 452,326 : x
  2. Step 2: Convert to fraction form
    210,323/452,326 = 452,326/x
  3. Step 3: Cross multiply
    210,323x = 452,326 × 452,326
  4. Step 4: Simplify right side
    210,323x = 204,598,810,276
  5. Step 5: Solve for x
    x = 204,598,810,276/210,323
  6. Step 6: Final answer
    x = 972,783.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.