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Finding the Third Proportional to 538,218 and 832,835.25

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Solution

The third proportional to 538,218 and 832,835.25 is: 1,288,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,218 : 832,835.25 = 832,835.25 : x
  2. Step 2: Convert to fraction form
    538,218/832,835.25 = 832,835.25/x
  3. Step 3: Cross multiply
    538,218x = 832,835.25 × 832,835.25
  4. Step 4: Simplify right side
    538,218x = 693,614,553,642.56
  5. Step 5: Solve for x
    x = 693,614,553,642.56/538,218
  6. Step 6: Final answer
    x = 1,288,724.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.