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Finding the Third Proportional to 284,928 and 612,732

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Solution

The third proportional to 284,928 and 612,732 is: 1,317,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,928 : 612,732 = 612,732 : x
  2. Step 2: Convert to fraction form
    284,928/612,732 = 612,732/x
  3. Step 3: Cross multiply
    284,928x = 612,732 × 612,732
  4. Step 4: Simplify right side
    284,928x = 375,440,503,824
  5. Step 5: Solve for x
    x = 375,440,503,824/284,928
  6. Step 6: Final answer
    x = 1,317,667.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.