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Finding the Third Proportional to 327,562 and 710,420

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Solution

The third proportional to 327,562 and 710,420 is: 1,540,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,562 : 710,420 = 710,420 : x
  2. Step 2: Convert to fraction form
    327,562/710,420 = 710,420/x
  3. Step 3: Cross multiply
    327,562x = 710,420 × 710,420
  4. Step 4: Simplify right side
    327,562x = 504,696,576,400
  5. Step 5: Solve for x
    x = 504,696,576,400/327,562
  6. Step 6: Final answer
    x = 1,540,766.56

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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.