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Finding the Third Proportional to 309,232.50 and 441,024.75

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Solution

The third proportional to 309,232.50 and 441,024.75 is: 628,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,232.50 : 441,024.75 = 441,024.75 : x
  2. Step 2: Convert to fraction form
    309,232.50/441,024.75 = 441,024.75/x
  3. Step 3: Cross multiply
    309,232.50x = 441,024.75 × 441,024.75
  4. Step 4: Simplify right side
    309,232.50x = 194,502,830,112.56
  5. Step 5: Solve for x
    x = 194,502,830,112.56/309,232.50
  6. Step 6: Final answer
    x = 628,985.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.