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Finding the Third Proportional to 285,909 and 420,546

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Solution

The third proportional to 285,909 and 420,546 is: 618,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,909 : 420,546 = 420,546 : x
  2. Step 2: Convert to fraction form
    285,909/420,546 = 420,546/x
  3. Step 3: Cross multiply
    285,909x = 420,546 × 420,546
  4. Step 4: Simplify right side
    285,909x = 176,858,938,116
  5. Step 5: Solve for x
    x = 176,858,938,116/285,909
  6. Step 6: Final answer
    x = 618,584.72

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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.