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Finding the Third Proportional to 211,179 and 461,724

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Solution

The third proportional to 211,179 and 461,724 is: 1,009,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,179 : 461,724 = 461,724 : x
  2. Step 2: Convert to fraction form
    211,179/461,724 = 461,724/x
  3. Step 3: Cross multiply
    211,179x = 461,724 × 461,724
  4. Step 4: Simplify right side
    211,179x = 213,189,052,176
  5. Step 5: Solve for x
    x = 213,189,052,176/211,179
  6. Step 6: Final answer
    x = 1,009,518.24

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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.