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Finding the Third Proportional to 211,264 and 469,762

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Solution

The third proportional to 211,264 and 469,762 is: 1,044,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,264 : 469,762 = 469,762 : x
  2. Step 2: Convert to fraction form
    211,264/469,762 = 469,762/x
  3. Step 3: Cross multiply
    211,264x = 469,762 × 469,762
  4. Step 4: Simplify right side
    211,264x = 220,676,336,644
  5. Step 5: Solve for x
    x = 220,676,336,644/211,264
  6. Step 6: Final answer
    x = 1,044,552.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.