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Finding the Third Proportional to 211,814 and 465,607

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Solution

The third proportional to 211,814 and 465,607 is: 1,023,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,814 : 465,607 = 465,607 : x
  2. Step 2: Convert to fraction form
    211,814/465,607 = 465,607/x
  3. Step 3: Cross multiply
    211,814x = 465,607 × 465,607
  4. Step 4: Simplify right side
    211,814x = 216,789,878,449
  5. Step 5: Solve for x
    x = 216,789,878,449/211,814
  6. Step 6: Final answer
    x = 1,023,491.74

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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.