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Finding the Third Proportional to 232,444 and 504,000

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Solution

The third proportional to 232,444 and 504,000 is: 1,092,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,444 : 504,000 = 504,000 : x
  2. Step 2: Convert to fraction form
    232,444/504,000 = 504,000/x
  3. Step 3: Cross multiply
    232,444x = 504,000 × 504,000
  4. Step 4: Simplify right side
    232,444x = 254,016,000,000
  5. Step 5: Solve for x
    x = 254,016,000,000/232,444
  6. Step 6: Final answer
    x = 1,092,805.15

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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.