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Finding the Third Proportional to 400,266 and 956,742.75

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Solution

The third proportional to 400,266 and 956,742.75 is: 2,286,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,266 : 956,742.75 = 956,742.75 : x
  2. Step 2: Convert to fraction form
    400,266/956,742.75 = 956,742.75/x
  3. Step 3: Cross multiply
    400,266x = 956,742.75 × 956,742.75
  4. Step 4: Simplify right side
    400,266x = 915,356,689,677.56
  5. Step 5: Solve for x
    x = 915,356,689,677.56/400,266
  6. Step 6: Final answer
    x = 2,286,870.96

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.