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Finding the Third Proportional to 538,956 and 898,205.75

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Solution

The third proportional to 538,956 and 898,205.75 is: 1,496,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,956 : 898,205.75 = 898,205.75 : x
  2. Step 2: Convert to fraction form
    538,956/898,205.75 = 898,205.75/x
  3. Step 3: Cross multiply
    538,956x = 898,205.75 × 898,205.75
  4. Step 4: Simplify right side
    538,956x = 806,773,569,333.06
  5. Step 5: Solve for x
    x = 806,773,569,333.06/538,956
  6. Step 6: Final answer
    x = 1,496,919.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.