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Finding the Third Proportional to 300,823.50 and 451,294.50

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Solution

The third proportional to 300,823.50 and 451,294.50 is: 677,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,823.50 : 451,294.50 = 451,294.50 : x
  2. Step 2: Convert to fraction form
    300,823.50/451,294.50 = 451,294.50/x
  3. Step 3: Cross multiply
    300,823.50x = 451,294.50 × 451,294.50
  4. Step 4: Simplify right side
    300,823.50x = 203,666,725,730.25
  5. Step 5: Solve for x
    x = 203,666,725,730.25/300,823.50
  6. Step 6: Final answer
    x = 677,030.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.