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Finding the Third Proportional to 207,641.81 and 444,074.06

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Solution

The third proportional to 207,641.81 and 444,074.06 is: 949,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,641.81 : 444,074.06 = 444,074.06 : x
  2. Step 2: Convert to fraction form
    207,641.81/444,074.06 = 444,074.06/x
  3. Step 3: Cross multiply
    207,641.81x = 444,074.06 × 444,074.06
  4. Step 4: Simplify right side
    207,641.81x = 197,201,772,985.25
  5. Step 5: Solve for x
    x = 197,201,772,985.25/207,641.81
  6. Step 6: Final answer
    x = 949,720.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.