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Finding the Third Proportional to 284,690 and 436,683

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Solution

The third proportional to 284,690 and 436,683 is: 669,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,690 : 436,683 = 436,683 : x
  2. Step 2: Convert to fraction form
    284,690/436,683 = 436,683/x
  3. Step 3: Cross multiply
    284,690x = 436,683 × 436,683
  4. Step 4: Simplify right side
    284,690x = 190,692,042,489
  5. Step 5: Solve for x
    x = 190,692,042,489/284,690
  6. Step 6: Final answer
    x = 669,823.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.