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Finding the Third Proportional to 223,392 and 453,264

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Solution

The third proportional to 223,392 and 453,264 is: 919,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,392 : 453,264 = 453,264 : x
  2. Step 2: Convert to fraction form
    223,392/453,264 = 453,264/x
  3. Step 3: Cross multiply
    223,392x = 453,264 × 453,264
  4. Step 4: Simplify right side
    223,392x = 205,448,253,696
  5. Step 5: Solve for x
    x = 205,448,253,696/223,392
  6. Step 6: Final answer
    x = 919,675.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.