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Finding the Third Proportional to 284,150 and 616,576

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Solution

The third proportional to 284,150 and 616,576 is: 1,337,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,150 : 616,576 = 616,576 : x
  2. Step 2: Convert to fraction form
    284,150/616,576 = 616,576/x
  3. Step 3: Cross multiply
    284,150x = 616,576 × 616,576
  4. Step 4: Simplify right side
    284,150x = 380,165,963,776
  5. Step 5: Solve for x
    x = 380,165,963,776/284,150
  6. Step 6: Final answer
    x = 1,337,905.91

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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.