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Finding the Third Proportional to 254,561 and 502,696

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Solution

The third proportional to 254,561 and 502,696 is: 992,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,561 : 502,696 = 502,696 : x
  2. Step 2: Convert to fraction form
    254,561/502,696 = 502,696/x
  3. Step 3: Cross multiply
    254,561x = 502,696 × 502,696
  4. Step 4: Simplify right side
    254,561x = 252,703,268,416
  5. Step 5: Solve for x
    x = 252,703,268,416/254,561
  6. Step 6: Final answer
    x = 992,702.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.