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Finding the Third Proportional to 538,182 and 832,788

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Solution

The third proportional to 538,182 and 832,788 is: 1,288,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,182 : 832,788 = 832,788 : x
  2. Step 2: Convert to fraction form
    538,182/832,788 = 832,788/x
  3. Step 3: Cross multiply
    538,182x = 832,788 × 832,788
  4. Step 4: Simplify right side
    538,182x = 693,535,852,944
  5. Step 5: Solve for x
    x = 693,535,852,944/538,182
  6. Step 6: Final answer
    x = 1,288,664.16

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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.