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Finding the Third Proportional to 304,865 and 670,064.50

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Solution

The third proportional to 304,865 and 670,064.50 is: 1,472,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,865 : 670,064.50 = 670,064.50 : x
  2. Step 2: Convert to fraction form
    304,865/670,064.50 = 670,064.50/x
  3. Step 3: Cross multiply
    304,865x = 670,064.50 × 670,064.50
  4. Step 4: Simplify right side
    304,865x = 448,986,434,160.25
  5. Step 5: Solve for x
    x = 448,986,434,160.25/304,865
  6. Step 6: Final answer
    x = 1,472,738.54

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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.