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Finding the Third Proportional to 202,768 and 487,872

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Solution

The third proportional to 202,768 and 487,872 is: 1,173,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,768 : 487,872 = 487,872 : x
  2. Step 2: Convert to fraction form
    202,768/487,872 = 487,872/x
  3. Step 3: Cross multiply
    202,768x = 487,872 × 487,872
  4. Step 4: Simplify right side
    202,768x = 238,019,088,384
  5. Step 5: Solve for x
    x = 238,019,088,384/202,768
  6. Step 6: Final answer
    x = 1,173,849.37

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.