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Finding the Third Proportional to 409,304.81 and 956,017.69

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Solution

The third proportional to 409,304.81 and 956,017.69 is: 2,232,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,304.81 : 956,017.69 = 956,017.69 : x
  2. Step 2: Convert to fraction form
    409,304.81/956,017.69 = 956,017.69/x
  3. Step 3: Cross multiply
    409,304.81x = 956,017.69 × 956,017.69
  4. Step 4: Simplify right side
    409,304.81x = 913,969,818,812.85
  5. Step 5: Solve for x
    x = 913,969,818,812.85/409,304.81
  6. Step 6: Final answer
    x = 2,232,980.88

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.