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Finding the Third Proportional to 269,297.16 and 409,541.06

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Solution

The third proportional to 269,297.16 and 409,541.06 is: 622,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,297.16 : 409,541.06 = 409,541.06 : x
  2. Step 2: Convert to fraction form
    269,297.16/409,541.06 = 409,541.06/x
  3. Step 3: Cross multiply
    269,297.16x = 409,541.06 × 409,541.06
  4. Step 4: Simplify right side
    269,297.16x = 167,723,881,873.63
  5. Step 5: Solve for x
    x = 167,723,881,873.63/269,297.16
  6. Step 6: Final answer
    x = 622,820.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.