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Finding the Third Proportional to 203,004 and 427,896

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Solution

The third proportional to 203,004 and 427,896 is: 901,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,004 : 427,896 = 427,896 : x
  2. Step 2: Convert to fraction form
    203,004/427,896 = 427,896/x
  3. Step 3: Cross multiply
    203,004x = 427,896 × 427,896
  4. Step 4: Simplify right side
    203,004x = 183,094,986,816
  5. Step 5: Solve for x
    x = 183,094,986,816/203,004
  6. Step 6: Final answer
    x = 901,927.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.