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Finding the Third Proportional to 436,242.38 and 654,824.25

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Solution

The third proportional to 436,242.38 and 654,824.25 is: 982,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,242.38 : 654,824.25 = 654,824.25 : x
  2. Step 2: Convert to fraction form
    436,242.38/654,824.25 = 654,824.25/x
  3. Step 3: Cross multiply
    436,242.38x = 654,824.25 × 654,824.25
  4. Step 4: Simplify right side
    436,242.38x = 428,794,798,388.06
  5. Step 5: Solve for x
    x = 428,794,798,388.06/436,242.38
  6. Step 6: Final answer
    x = 982,927.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.