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Finding the Third Proportional to 232,560 and 504,648

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Solution

The third proportional to 232,560 and 504,648 is: 1,095,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,560 : 504,648 = 504,648 : x
  2. Step 2: Convert to fraction form
    232,560/504,648 = 504,648/x
  3. Step 3: Cross multiply
    232,560x = 504,648 × 504,648
  4. Step 4: Simplify right side
    232,560x = 254,669,603,904
  5. Step 5: Solve for x
    x = 254,669,603,904/232,560
  6. Step 6: Final answer
    x = 1,095,070.54

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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.