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Finding the Third Proportional to 322,720 and 701,410

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Solution

The third proportional to 322,720 and 701,410 is: 1,524,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,720 : 701,410 = 701,410 : x
  2. Step 2: Convert to fraction form
    322,720/701,410 = 701,410/x
  3. Step 3: Cross multiply
    322,720x = 701,410 × 701,410
  4. Step 4: Simplify right side
    322,720x = 491,975,988,100
  5. Step 5: Solve for x
    x = 491,975,988,100/322,720
  6. Step 6: Final answer
    x = 1,524,466.99

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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.