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Finding the Third Proportional to 320,972.63 and 496,732.50

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Solution

The third proportional to 320,972.63 and 496,732.50 is: 768,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,972.63 : 496,732.50 = 496,732.50 : x
  2. Step 2: Convert to fraction form
    320,972.63/496,732.50 = 496,732.50/x
  3. Step 3: Cross multiply
    320,972.63x = 496,732.50 × 496,732.50
  4. Step 4: Simplify right side
    320,972.63x = 246,743,176,556.25
  5. Step 5: Solve for x
    x = 246,743,176,556.25/320,972.63
  6. Step 6: Final answer
    x = 768,735.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.