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Finding the Third Proportional to 211,238.13 and 455,655.88

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Solution

The third proportional to 211,238.13 and 455,655.88 is: 982,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,238.13 : 455,655.88 = 455,655.88 : x
  2. Step 2: Convert to fraction form
    211,238.13/455,655.88 = 455,655.88/x
  3. Step 3: Cross multiply
    211,238.13x = 455,655.88 × 455,655.88
  4. Step 4: Simplify right side
    211,238.13x = 207,622,276,422.02
  5. Step 5: Solve for x
    x = 207,622,276,422.02/211,238.13
  6. Step 6: Final answer
    x = 982,882.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.