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Finding the Third Proportional to 211,036 and 461,240

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Solution

The third proportional to 211,036 and 461,240 is: 1,008,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,036 : 461,240 = 461,240 : x
  2. Step 2: Convert to fraction form
    211,036/461,240 = 461,240/x
  3. Step 3: Cross multiply
    211,036x = 461,240 × 461,240
  4. Step 4: Simplify right side
    211,036x = 212,742,337,600
  5. Step 5: Solve for x
    x = 212,742,337,600/211,036
  6. Step 6: Final answer
    x = 1,008,085.53

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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.