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Finding the Third Proportional to 306,066.09 and 449,496.84

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Solution

The third proportional to 306,066.09 and 449,496.84 is: 660,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,066.09 : 449,496.84 = 449,496.84 : x
  2. Step 2: Convert to fraction form
    306,066.09/449,496.84 = 449,496.84/x
  3. Step 3: Cross multiply
    306,066.09x = 449,496.84 × 449,496.84
  4. Step 4: Simplify right side
    306,066.09x = 202,047,412,541.21
  5. Step 5: Solve for x
    x = 202,047,412,541.21/306,066.09
  6. Step 6: Final answer
    x = 660,143.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.