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Finding the Third Proportional to 233,605.50 and 502,749

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Solution

The third proportional to 233,605.50 and 502,749 is: 1,081,980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,605.50 : 502,749 = 502,749 : x
  2. Step 2: Convert to fraction form
    233,605.50/502,749 = 502,749/x
  3. Step 3: Cross multiply
    233,605.50x = 502,749 × 502,749
  4. Step 4: Simplify right side
    233,605.50x = 252,756,557,001
  5. Step 5: Solve for x
    x = 252,756,557,001/233,605.50
  6. Step 6: Final answer
    x = 1,081,980.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.