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Finding the Third Proportional to 284,224 and 627,732

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Solution

The third proportional to 284,224 and 627,732 is: 1,386,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,224 : 627,732 = 627,732 : x
  2. Step 2: Convert to fraction form
    284,224/627,732 = 627,732/x
  3. Step 3: Cross multiply
    284,224x = 627,732 × 627,732
  4. Step 4: Simplify right side
    284,224x = 394,047,463,824
  5. Step 5: Solve for x
    x = 394,047,463,824/284,224
  6. Step 6: Final answer
    x = 1,386,397.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.