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Finding the Third Proportional to 323,072 and 662,264

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Solution

The third proportional to 323,072 and 662,264 is: 1,357,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,072 : 662,264 = 662,264 : x
  2. Step 2: Convert to fraction form
    323,072/662,264 = 662,264/x
  3. Step 3: Cross multiply
    323,072x = 662,264 × 662,264
  4. Step 4: Simplify right side
    323,072x = 438,593,605,696
  5. Step 5: Solve for x
    x = 438,593,605,696/323,072
  6. Step 6: Final answer
    x = 1,357,572.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.