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Finding the Third Proportional to 211,241 and 469,708

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Solution

The third proportional to 211,241 and 469,708 is: 1,044,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,241 : 469,708 = 469,708 : x
  2. Step 2: Convert to fraction form
    211,241/469,708 = 469,708/x
  3. Step 3: Cross multiply
    211,241x = 469,708 × 469,708
  4. Step 4: Simplify right side
    211,241x = 220,625,605,264
  5. Step 5: Solve for x
    x = 220,625,605,264/211,241
  6. Step 6: Final answer
    x = 1,044,426.06

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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.