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Finding the Third Proportional to 202,795 and 469,454

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Solution

The third proportional to 202,795 and 469,454 is: 1,086,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,795 : 469,454 = 469,454 : x
  2. Step 2: Convert to fraction form
    202,795/469,454 = 469,454/x
  3. Step 3: Cross multiply
    202,795x = 469,454 × 469,454
  4. Step 4: Simplify right side
    202,795x = 220,387,058,116
  5. Step 5: Solve for x
    x = 220,387,058,116/202,795
  6. Step 6: Final answer
    x = 1,086,747.99

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.