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Finding the Third Proportional to 360,945 and 504,654

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Solution

The third proportional to 360,945 and 504,654 is: 705,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,945 : 504,654 = 504,654 : x
  2. Step 2: Convert to fraction form
    360,945/504,654 = 504,654/x
  3. Step 3: Cross multiply
    360,945x = 504,654 × 504,654
  4. Step 4: Simplify right side
    360,945x = 254,675,659,716
  5. Step 5: Solve for x
    x = 254,675,659,716/360,945
  6. Step 6: Final answer
    x = 705,580.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.