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Finding the Third Proportional to 444,213 and 670,315.50

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Solution

The third proportional to 444,213 and 670,315.50 is: 1,011,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,213 : 670,315.50 = 670,315.50 : x
  2. Step 2: Convert to fraction form
    444,213/670,315.50 = 670,315.50/x
  3. Step 3: Cross multiply
    444,213x = 670,315.50 × 670,315.50
  4. Step 4: Simplify right side
    444,213x = 449,322,869,540.25
  5. Step 5: Solve for x
    x = 449,322,869,540.25/444,213
  6. Step 6: Final answer
    x = 1,011,503.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.