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Finding the Third Proportional to 232,490 and 504,148

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Solution

The third proportional to 232,490 and 504,148 is: 1,093,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,490 : 504,148 = 504,148 : x
  2. Step 2: Convert to fraction form
    232,490/504,148 = 504,148/x
  3. Step 3: Cross multiply
    232,490x = 504,148 × 504,148
  4. Step 4: Simplify right side
    232,490x = 254,165,205,904
  5. Step 5: Solve for x
    x = 254,165,205,904/232,490
  6. Step 6: Final answer
    x = 1,093,230.70

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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.