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Finding the Third Proportional to 284,064 and 441,600

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Solution

The third proportional to 284,064 and 441,600 is: 686,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,064 : 441,600 = 441,600 : x
  2. Step 2: Convert to fraction form
    284,064/441,600 = 441,600/x
  3. Step 3: Cross multiply
    284,064x = 441,600 × 441,600
  4. Step 4: Simplify right side
    284,064x = 195,010,560,000
  5. Step 5: Solve for x
    x = 195,010,560,000/284,064
  6. Step 6: Final answer
    x = 686,502.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.