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Finding the Third Proportional to 284,988 and 444,735

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Solution

The third proportional to 284,988 and 444,735 is: 694,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,988 : 444,735 = 444,735 : x
  2. Step 2: Convert to fraction form
    284,988/444,735 = 444,735/x
  3. Step 3: Cross multiply
    284,988x = 444,735 × 444,735
  4. Step 4: Simplify right side
    284,988x = 197,789,220,225
  5. Step 5: Solve for x
    x = 197,789,220,225/284,988
  6. Step 6: Final answer
    x = 694,026.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.