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Finding the Third Proportional to 211,254 and 469,741

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Solution

The third proportional to 211,254 and 469,741 is: 1,044,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,254 : 469,741 = 469,741 : x
  2. Step 2: Convert to fraction form
    211,254/469,741 = 469,741/x
  3. Step 3: Cross multiply
    211,254x = 469,741 × 469,741
  4. Step 4: Simplify right side
    211,254x = 220,656,607,081
  5. Step 5: Solve for x
    x = 220,656,607,081/211,254
  6. Step 6: Final answer
    x = 1,044,508.54

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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.