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Finding the Third Proportional to 211,238 and 469,702

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Solution

The third proportional to 211,238 and 469,702 is: 1,044,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,238 : 469,702 = 469,702 : x
  2. Step 2: Convert to fraction form
    211,238/469,702 = 469,702/x
  3. Step 3: Cross multiply
    211,238x = 469,702 × 469,702
  4. Step 4: Simplify right side
    211,238x = 220,619,968,804
  5. Step 5: Solve for x
    x = 220,619,968,804/211,238
  6. Step 6: Final answer
    x = 1,044,414.21

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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.