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Finding the Third Proportional to 234,047 and 504,146

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Solution

The third proportional to 234,047 and 504,146 is: 1,085,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,047 : 504,146 = 504,146 : x
  2. Step 2: Convert to fraction form
    234,047/504,146 = 504,146/x
  3. Step 3: Cross multiply
    234,047x = 504,146 × 504,146
  4. Step 4: Simplify right side
    234,047x = 254,163,189,316
  5. Step 5: Solve for x
    x = 254,163,189,316/234,047
  6. Step 6: Final answer
    x = 1,085,949.36

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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.