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Finding the Third Proportional to 232,965 and 504,013.50

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Solution

The third proportional to 232,965 and 504,013.50 is: 1,090,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,965 : 504,013.50 = 504,013.50 : x
  2. Step 2: Convert to fraction form
    232,965/504,013.50 = 504,013.50/x
  3. Step 3: Cross multiply
    232,965x = 504,013.50 × 504,013.50
  4. Step 4: Simplify right side
    232,965x = 254,029,608,182.25
  5. Step 5: Solve for x
    x = 254,029,608,182.25/232,965
  6. Step 6: Final answer
    x = 1,090,419.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.