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Finding the Third Proportional to 303,264 and 660,348

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Solution

The third proportional to 303,264 and 660,348 is: 1,437,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,264 : 660,348 = 660,348 : x
  2. Step 2: Convert to fraction form
    303,264/660,348 = 660,348/x
  3. Step 3: Cross multiply
    303,264x = 660,348 × 660,348
  4. Step 4: Simplify right side
    303,264x = 436,059,481,104
  5. Step 5: Solve for x
    x = 436,059,481,104/303,264
  6. Step 6: Final answer
    x = 1,437,887.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.