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Finding the Third Proportional to 253,472 and 544,384

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Solution

The third proportional to 253,472 and 544,384 is: 1,169,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,472 : 544,384 = 544,384 : x
  2. Step 2: Convert to fraction form
    253,472/544,384 = 544,384/x
  3. Step 3: Cross multiply
    253,472x = 544,384 × 544,384
  4. Step 4: Simplify right side
    253,472x = 296,353,939,456
  5. Step 5: Solve for x
    x = 296,353,939,456/253,472
  6. Step 6: Final answer
    x = 1,169,178.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.