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Finding the Third Proportional to 327,564 and 714,420

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Solution

The third proportional to 327,564 and 714,420 is: 1,558,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,564 : 714,420 = 714,420 : x
  2. Step 2: Convert to fraction form
    327,564/714,420 = 714,420/x
  3. Step 3: Cross multiply
    327,564x = 714,420 × 714,420
  4. Step 4: Simplify right side
    327,564x = 510,395,936,400
  5. Step 5: Solve for x
    x = 510,395,936,400/327,564
  6. Step 6: Final answer
    x = 1,558,156.38

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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.