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Finding the Third Proportional to 202,244 and 439,787

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Solution

The third proportional to 202,244 and 439,787 is: 956,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,244 : 439,787 = 439,787 : x
  2. Step 2: Convert to fraction form
    202,244/439,787 = 439,787/x
  3. Step 3: Cross multiply
    202,244x = 439,787 × 439,787
  4. Step 4: Simplify right side
    202,244x = 193,412,605,369
  5. Step 5: Solve for x
    x = 193,412,605,369/202,244
  6. Step 6: Final answer
    x = 956,332.97

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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.