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Finding the Third Proportional to 414,568.13 and 632,913.75

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Solution

The third proportional to 414,568.13 and 632,913.75 is: 966,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,568.13 : 632,913.75 = 632,913.75 : x
  2. Step 2: Convert to fraction form
    414,568.13/632,913.75 = 632,913.75/x
  3. Step 3: Cross multiply
    414,568.13x = 632,913.75 × 632,913.75
  4. Step 4: Simplify right side
    414,568.13x = 400,579,814,939.06
  5. Step 5: Solve for x
    x = 400,579,814,939.06/414,568.13
  6. Step 6: Final answer
    x = 966,258.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.