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Finding the Third Proportional to 211,241 and 469,710

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Solution

The third proportional to 211,241 and 469,710 is: 1,044,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,241 : 469,710 = 469,710 : x
  2. Step 2: Convert to fraction form
    211,241/469,710 = 469,710/x
  3. Step 3: Cross multiply
    211,241x = 469,710 × 469,710
  4. Step 4: Simplify right side
    211,241x = 220,627,484,100
  5. Step 5: Solve for x
    x = 220,627,484,100/211,241
  6. Step 6: Final answer
    x = 1,044,434.95

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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.