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Finding the Third Proportional to 544,900 and 850,470

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Solution

The third proportional to 544,900 and 850,470 is: 1,327,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,900 : 850,470 = 850,470 : x
  2. Step 2: Convert to fraction form
    544,900/850,470 = 850,470/x
  3. Step 3: Cross multiply
    544,900x = 850,470 × 850,470
  4. Step 4: Simplify right side
    544,900x = 723,299,220,900
  5. Step 5: Solve for x
    x = 723,299,220,900/544,900
  6. Step 6: Final answer
    x = 1,327,398.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.