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Finding the Third Proportional to 211,235 and 469,698

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Solution

The third proportional to 211,235 and 469,698 is: 1,044,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,235 : 469,698 = 469,698 : x
  2. Step 2: Convert to fraction form
    211,235/469,698 = 469,698/x
  3. Step 3: Cross multiply
    211,235x = 469,698 × 469,698
  4. Step 4: Simplify right side
    211,235x = 220,616,211,204
  5. Step 5: Solve for x
    x = 220,616,211,204/211,235
  6. Step 6: Final answer
    x = 1,044,411.25

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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.