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Finding the Third Proportional to 211,754 and 465,004

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Solution

The third proportional to 211,754 and 465,004 is: 1,021,131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,754 : 465,004 = 465,004 : x
  2. Step 2: Convert to fraction form
    211,754/465,004 = 465,004/x
  3. Step 3: Cross multiply
    211,754x = 465,004 × 465,004
  4. Step 4: Simplify right side
    211,754x = 216,228,720,016
  5. Step 5: Solve for x
    x = 216,228,720,016/211,754
  6. Step 6: Final answer
    x = 1,021,131.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.