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Finding the Third Proportional to 234,410 and 504,414

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Solution

The third proportional to 234,410 and 504,414 is: 1,085,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,410 : 504,414 = 504,414 : x
  2. Step 2: Convert to fraction form
    234,410/504,414 = 504,414/x
  3. Step 3: Cross multiply
    234,410x = 504,414 × 504,414
  4. Step 4: Simplify right side
    234,410x = 254,433,483,396
  5. Step 5: Solve for x
    x = 254,433,483,396/234,410
  6. Step 6: Final answer
    x = 1,085,420.77

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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.