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Finding the Third Proportional to 284,177 and 615,652

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Solution

The third proportional to 284,177 and 615,652 is: 1,333,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,177 : 615,652 = 615,652 : x
  2. Step 2: Convert to fraction form
    284,177/615,652 = 615,652/x
  3. Step 3: Cross multiply
    284,177x = 615,652 × 615,652
  4. Step 4: Simplify right side
    284,177x = 379,027,385,104
  5. Step 5: Solve for x
    x = 379,027,385,104/284,177
  6. Step 6: Final answer
    x = 1,333,772.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.