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Finding the Third Proportional to 285,914 and 420,555

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Solution

The third proportional to 285,914 and 420,555 is: 618,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,914 : 420,555 = 420,555 : x
  2. Step 2: Convert to fraction form
    285,914/420,555 = 420,555/x
  3. Step 3: Cross multiply
    285,914x = 420,555 × 420,555
  4. Step 4: Simplify right side
    285,914x = 176,866,508,025
  5. Step 5: Solve for x
    x = 176,866,508,025/285,914
  6. Step 6: Final answer
    x = 618,600.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.