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Finding the Third Proportional to 202,497 and 468,783

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Solution

The third proportional to 202,497 and 468,783 is: 1,085,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,497 : 468,783 = 468,783 : x
  2. Step 2: Convert to fraction form
    202,497/468,783 = 468,783/x
  3. Step 3: Cross multiply
    202,497x = 468,783 × 468,783
  4. Step 4: Simplify right side
    202,497x = 219,757,501,089
  5. Step 5: Solve for x
    x = 219,757,501,089/202,497
  6. Step 6: Final answer
    x = 1,085,238.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.