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Finding the Third Proportional to 210,464.16 and 461,674.69

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Solution

The third proportional to 210,464.16 and 461,674.69 is: 1,012,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,464.16 : 461,674.69 = 461,674.69 : x
  2. Step 2: Convert to fraction form
    210,464.16/461,674.69 = 461,674.69/x
  3. Step 3: Cross multiply
    210,464.16x = 461,674.69 × 461,674.69
  4. Step 4: Simplify right side
    210,464.16x = 213,143,517,078.22
  5. Step 5: Solve for x
    x = 213,143,517,078.22/210,464.16
  6. Step 6: Final answer
    x = 1,012,730.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.