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Finding the Third Proportional to 323,430 and 706,188

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Solution

The third proportional to 323,430 and 706,188 is: 1,541,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,430 : 706,188 = 706,188 : x
  2. Step 2: Convert to fraction form
    323,430/706,188 = 706,188/x
  3. Step 3: Cross multiply
    323,430x = 706,188 × 706,188
  4. Step 4: Simplify right side
    323,430x = 498,701,491,344
  5. Step 5: Solve for x
    x = 498,701,491,344/323,430
  6. Step 6: Final answer
    x = 1,541,914.76

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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.