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Finding the Third Proportional to 538,953.75 and 898,202.25

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Solution

The third proportional to 538,953.75 and 898,202.25 is: 1,496,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,953.75 : 898,202.25 = 898,202.25 : x
  2. Step 2: Convert to fraction form
    538,953.75/898,202.25 = 898,202.25/x
  3. Step 3: Cross multiply
    538,953.75x = 898,202.25 × 898,202.25
  4. Step 4: Simplify right side
    538,953.75x = 806,767,281,905.06
  5. Step 5: Solve for x
    x = 806,767,281,905.06/538,953.75
  6. Step 6: Final answer
    x = 1,496,913.76

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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.