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Finding the Third Proportional to 211,524 and 460,920

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Solution

The third proportional to 211,524 and 460,920 is: 1,004,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524 : 460,920 = 460,920 : x
  2. Step 2: Convert to fraction form
    211,524/460,920 = 460,920/x
  3. Step 3: Cross multiply
    211,524x = 460,920 × 460,920
  4. Step 4: Simplify right side
    211,524x = 212,447,246,400
  5. Step 5: Solve for x
    x = 212,447,246,400/211,524
  6. Step 6: Final answer
    x = 1,004,364.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.