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Finding the Third Proportional to 211,794 and 465,060

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Solution

The third proportional to 211,794 and 465,060 is: 1,021,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,794 : 465,060 = 465,060 : x
  2. Step 2: Convert to fraction form
    211,794/465,060 = 465,060/x
  3. Step 3: Cross multiply
    211,794x = 465,060 × 465,060
  4. Step 4: Simplify right side
    211,794x = 216,280,803,600
  5. Step 5: Solve for x
    x = 216,280,803,600/211,794
  6. Step 6: Final answer
    x = 1,021,184.75

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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.