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Finding the Third Proportional to 526,244.75 and 733,189.75

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Solution

The third proportional to 526,244.75 and 733,189.75 is: 1,021,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,244.75 : 733,189.75 = 733,189.75 : x
  2. Step 2: Convert to fraction form
    526,244.75/733,189.75 = 733,189.75/x
  3. Step 3: Cross multiply
    526,244.75x = 733,189.75 × 733,189.75
  4. Step 4: Simplify right side
    526,244.75x = 537,567,209,505.06
  5. Step 5: Solve for x
    x = 537,567,209,505.06/526,244.75
  6. Step 6: Final answer
    x = 1,021,515.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.