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Finding the Third Proportional to 360,844.88 and 504,483.75

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Solution

The third proportional to 360,844.88 and 504,483.75 is: 705,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,844.88 : 504,483.75 = 504,483.75 : x
  2. Step 2: Convert to fraction form
    360,844.88/504,483.75 = 504,483.75/x
  3. Step 3: Cross multiply
    360,844.88x = 504,483.75 × 504,483.75
  4. Step 4: Simplify right side
    360,844.88x = 254,503,854,014.06
  5. Step 5: Solve for x
    x = 254,503,854,014.06/360,844.88
  6. Step 6: Final answer
    x = 705,299.90

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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.