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Finding the Third Proportional to 427,668 and 597,906

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Solution

The third proportional to 427,668 and 597,906 is: 835,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,668 : 597,906 = 597,906 : x
  2. Step 2: Convert to fraction form
    427,668/597,906 = 597,906/x
  3. Step 3: Cross multiply
    427,668x = 597,906 × 597,906
  4. Step 4: Simplify right side
    427,668x = 357,491,584,836
  5. Step 5: Solve for x
    x = 357,491,584,836/427,668
  6. Step 6: Final answer
    x = 835,909.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.