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Finding the Third Proportional to 211,057.03 and 461,525.06

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Solution

The third proportional to 211,057.03 and 461,525.06 is: 1,009,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,057.03 : 461,525.06 = 461,525.06 : x
  2. Step 2: Convert to fraction form
    211,057.03/461,525.06 = 461,525.06/x
  3. Step 3: Cross multiply
    211,057.03x = 461,525.06 × 461,525.06
  4. Step 4: Simplify right side
    211,057.03x = 213,005,383,315.63
  5. Step 5: Solve for x
    x = 213,005,383,315.63/211,057.03
  6. Step 6: Final answer
    x = 1,009,231.40

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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.