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Finding the Third Proportional to 300,604.50 and 466,094

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Solution

The third proportional to 300,604.50 and 466,094 is: 722,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,604.50 : 466,094 = 466,094 : x
  2. Step 2: Convert to fraction form
    300,604.50/466,094 = 466,094/x
  3. Step 3: Cross multiply
    300,604.50x = 466,094 × 466,094
  4. Step 4: Simplify right side
    300,604.50x = 217,243,616,836
  5. Step 5: Solve for x
    x = 217,243,616,836/300,604.50
  6. Step 6: Final answer
    x = 722,689.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.