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Finding the Third Proportional to 436,549.50 and 656,448.75

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Solution

The third proportional to 436,549.50 and 656,448.75 is: 987,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,549.50 : 656,448.75 = 656,448.75 : x
  2. Step 2: Convert to fraction form
    436,549.50/656,448.75 = 656,448.75/x
  3. Step 3: Cross multiply
    436,549.50x = 656,448.75 × 656,448.75
  4. Step 4: Simplify right side
    436,549.50x = 430,924,961,376.56
  5. Step 5: Solve for x
    x = 430,924,961,376.56/436,549.50
  6. Step 6: Final answer
    x = 987,115.92

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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.