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Finding the Third Proportional to 284,672 and 658,944

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Solution

The third proportional to 284,672 and 658,944 is: 1,525,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,672 : 658,944 = 658,944 : x
  2. Step 2: Convert to fraction form
    284,672/658,944 = 658,944/x
  3. Step 3: Cross multiply
    284,672x = 658,944 × 658,944
  4. Step 4: Simplify right side
    284,672x = 434,207,195,136
  5. Step 5: Solve for x
    x = 434,207,195,136/284,672
  6. Step 6: Final answer
    x = 1,525,289.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.