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Finding the Third Proportional to 211,241 and 469,712

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Solution

The third proportional to 211,241 and 469,712 is: 1,044,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,241 : 469,712 = 469,712 : x
  2. Step 2: Convert to fraction form
    211,241/469,712 = 469,712/x
  3. Step 3: Cross multiply
    211,241x = 469,712 × 469,712
  4. Step 4: Simplify right side
    211,241x = 220,629,362,944
  5. Step 5: Solve for x
    x = 220,629,362,944/211,241
  6. Step 6: Final answer
    x = 1,044,443.85

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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.