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Finding the Third Proportional to 211,173 and 461,712

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Solution

The third proportional to 211,173 and 461,712 is: 1,009,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,173 : 461,712 = 461,712 : x
  2. Step 2: Convert to fraction form
    211,173/461,712 = 461,712/x
  3. Step 3: Cross multiply
    211,173x = 461,712 × 461,712
  4. Step 4: Simplify right side
    211,173x = 213,177,970,944
  5. Step 5: Solve for x
    x = 213,177,970,944/211,173
  6. Step 6: Final answer
    x = 1,009,494.45

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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.