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Finding the Third Proportional to 327,608 and 710,944

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Solution

The third proportional to 327,608 and 710,944 is: 1,542,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,608 : 710,944 = 710,944 : x
  2. Step 2: Convert to fraction form
    327,608/710,944 = 710,944/x
  3. Step 3: Cross multiply
    327,608x = 710,944 × 710,944
  4. Step 4: Simplify right side
    327,608x = 505,441,371,136
  5. Step 5: Solve for x
    x = 505,441,371,136/327,608
  6. Step 6: Final answer
    x = 1,542,823.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.