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Finding the Third Proportional to 452,539.69 and 670,982.06

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Solution

The third proportional to 452,539.69 and 670,982.06 is: 994,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,539.69 : 670,982.06 = 670,982.06 : x
  2. Step 2: Convert to fraction form
    452,539.69/670,982.06 = 670,982.06/x
  3. Step 3: Cross multiply
    452,539.69x = 670,982.06 × 670,982.06
  4. Step 4: Simplify right side
    452,539.69x = 450,216,928,196.75
  5. Step 5: Solve for x
    x = 450,216,928,196.75/452,539.69
  6. Step 6: Final answer
    x = 994,867.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.