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Finding the Third Proportional to 351,638 and 544,833

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Solution

The third proportional to 351,638 and 544,833 is: 844,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,638 : 544,833 = 544,833 : x
  2. Step 2: Convert to fraction form
    351,638/544,833 = 544,833/x
  3. Step 3: Cross multiply
    351,638x = 544,833 × 544,833
  4. Step 4: Simplify right side
    351,638x = 296,842,997,889
  5. Step 5: Solve for x
    x = 296,842,997,889/351,638
  6. Step 6: Final answer
    x = 844,172.13

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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.