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Finding the Third Proportional to 234,693 and 504,765

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Solution

The third proportional to 234,693 and 504,765 is: 1,085,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,693 : 504,765 = 504,765 : x
  2. Step 2: Convert to fraction form
    234,693/504,765 = 504,765/x
  3. Step 3: Cross multiply
    234,693x = 504,765 × 504,765
  4. Step 4: Simplify right side
    234,693x = 254,787,705,225
  5. Step 5: Solve for x
    x = 254,787,705,225/234,693
  6. Step 6: Final answer
    x = 1,085,621.24

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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.