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Finding the Third Proportional to 211,817 and 465,613

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Solution

The third proportional to 211,817 and 465,613 is: 1,023,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,817 : 465,613 = 465,613 : x
  2. Step 2: Convert to fraction form
    211,817/465,613 = 465,613/x
  3. Step 3: Cross multiply
    211,817x = 465,613 × 465,613
  4. Step 4: Simplify right side
    211,817x = 216,795,465,769
  5. Step 5: Solve for x
    x = 216,795,465,769/211,817
  6. Step 6: Final answer
    x = 1,023,503.62

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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.