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Finding the Third Proportional to 311,089.50 and 494,654.06

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Solution

The third proportional to 311,089.50 and 494,654.06 is: 786,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,089.50 : 494,654.06 = 494,654.06 : x
  2. Step 2: Convert to fraction form
    311,089.50/494,654.06 = 494,654.06/x
  3. Step 3: Cross multiply
    311,089.50x = 494,654.06 × 494,654.06
  4. Step 4: Simplify right side
    311,089.50x = 244,682,641,547.75
  5. Step 5: Solve for x
    x = 244,682,641,547.75/311,089.50
  6. Step 6: Final answer
    x = 786,534.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.