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Finding the Third Proportional to 457,933.50 and 670,497.75

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Solution

The third proportional to 457,933.50 and 670,497.75 is: 981,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,933.50 : 670,497.75 = 670,497.75 : x
  2. Step 2: Convert to fraction form
    457,933.50/670,497.75 = 670,497.75/x
  3. Step 3: Cross multiply
    457,933.50x = 670,497.75 × 670,497.75
  4. Step 4: Simplify right side
    457,933.50x = 449,567,232,755.06
  5. Step 5: Solve for x
    x = 449,567,232,755.06/457,933.50
  6. Step 6: Final answer
    x = 981,730.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.