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Finding the Third Proportional to 320,793 and 649,362

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Solution

The third proportional to 320,793 and 649,362 is: 1,314,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,793 : 649,362 = 649,362 : x
  2. Step 2: Convert to fraction form
    320,793/649,362 = 649,362/x
  3. Step 3: Cross multiply
    320,793x = 649,362 × 649,362
  4. Step 4: Simplify right side
    320,793x = 421,671,007,044
  5. Step 5: Solve for x
    x = 421,671,007,044/320,793
  6. Step 6: Final answer
    x = 1,314,464.49

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.