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Finding the Third Proportional to 231,669 and 502,573.50

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Solution

The third proportional to 231,669 and 502,573.50 is: 1,090,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,669 : 502,573.50 = 502,573.50 : x
  2. Step 2: Convert to fraction form
    231,669/502,573.50 = 502,573.50/x
  3. Step 3: Cross multiply
    231,669x = 502,573.50 × 502,573.50
  4. Step 4: Simplify right side
    231,669x = 252,580,122,902.25
  5. Step 5: Solve for x
    x = 252,580,122,902.25/231,669
  6. Step 6: Final answer
    x = 1,090,262.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.