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Finding the Third Proportional to 311,455.13 and 445,381.03

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Solution

The third proportional to 311,455.13 and 445,381.03 is: 636,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,455.13 : 445,381.03 = 445,381.03 : x
  2. Step 2: Convert to fraction form
    311,455.13/445,381.03 = 445,381.03/x
  3. Step 3: Cross multiply
    311,455.13x = 445,381.03 × 445,381.03
  4. Step 4: Simplify right side
    311,455.13x = 198,364,262,997.31
  5. Step 5: Solve for x
    x = 198,364,262,997.31/311,455.13
  6. Step 6: Final answer
    x = 636,895.16

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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.