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Finding the Third Proportional to 202,646.81 and 440,969.06

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Solution

The third proportional to 202,646.81 and 440,969.06 is: 959,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,646.81 : 440,969.06 = 440,969.06 : x
  2. Step 2: Convert to fraction form
    202,646.81/440,969.06 = 440,969.06/x
  3. Step 3: Cross multiply
    202,646.81x = 440,969.06 × 440,969.06
  4. Step 4: Simplify right side
    202,646.81x = 194,453,714,082.13
  5. Step 5: Solve for x
    x = 194,453,714,082.13/202,646.81
  6. Step 6: Final answer
    x = 959,569.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.