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Finding the Third Proportional to 202,896 and 440,784

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Solution

The third proportional to 202,896 and 440,784 is: 957,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,896 : 440,784 = 440,784 : x
  2. Step 2: Convert to fraction form
    202,896/440,784 = 440,784/x
  3. Step 3: Cross multiply
    202,896x = 440,784 × 440,784
  4. Step 4: Simplify right side
    202,896x = 194,290,534,656
  5. Step 5: Solve for x
    x = 194,290,534,656/202,896
  6. Step 6: Final answer
    x = 957,586.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.