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Finding the Third Proportional to 236,608.88 and 502,741.13

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Solution

The third proportional to 236,608.88 and 502,741.13 is: 1,068,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,608.88 : 502,741.13 = 502,741.13 : x
  2. Step 2: Convert to fraction form
    236,608.88/502,741.13 = 502,741.13/x
  3. Step 3: Cross multiply
    236,608.88x = 502,741.13 × 502,741.13
  4. Step 4: Simplify right side
    236,608.88x = 252,748,638,766.27
  5. Step 5: Solve for x
    x = 252,748,638,766.27/236,608.88
  6. Step 6: Final answer
    x = 1,068,212.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.