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Finding the Third Proportional to 538,134 and 832,761

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Solution

The third proportional to 538,134 and 832,761 is: 1,288,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,134 : 832,761 = 832,761 : x
  2. Step 2: Convert to fraction form
    538,134/832,761 = 832,761/x
  3. Step 3: Cross multiply
    538,134x = 832,761 × 832,761
  4. Step 4: Simplify right side
    538,134x = 693,490,883,121
  5. Step 5: Solve for x
    x = 693,490,883,121/538,134
  6. Step 6: Final answer
    x = 1,288,695.54

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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.