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Finding the Third Proportional to 400,984 and 544,736

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Solution

The third proportional to 400,984 and 544,736 is: 740,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,984 : 544,736 = 544,736 : x
  2. Step 2: Convert to fraction form
    400,984/544,736 = 544,736/x
  3. Step 3: Cross multiply
    400,984x = 544,736 × 544,736
  4. Step 4: Simplify right side
    400,984x = 296,737,309,696
  5. Step 5: Solve for x
    x = 296,737,309,696/400,984
  6. Step 6: Final answer
    x = 740,022.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.