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Finding the Third Proportional to 304,508.25 and 669,766.50

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Solution

The third proportional to 304,508.25 and 669,766.50 is: 1,473,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,508.25 : 669,766.50 = 669,766.50 : x
  2. Step 2: Convert to fraction form
    304,508.25/669,766.50 = 669,766.50/x
  3. Step 3: Cross multiply
    304,508.25x = 669,766.50 × 669,766.50
  4. Step 4: Simplify right side
    304,508.25x = 448,587,164,522.25
  5. Step 5: Solve for x
    x = 448,587,164,522.25/304,508.25
  6. Step 6: Final answer
    x = 1,473,152.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.