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Finding the Third Proportional to 211,303 and 469,851

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Solution

The third proportional to 211,303 and 469,851 is: 1,044,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,303 : 469,851 = 469,851 : x
  2. Step 2: Convert to fraction form
    211,303/469,851 = 469,851/x
  3. Step 3: Cross multiply
    211,303x = 469,851 × 469,851
  4. Step 4: Simplify right side
    211,303x = 220,759,962,201
  5. Step 5: Solve for x
    x = 220,759,962,201/211,303
  6. Step 6: Final answer
    x = 1,044,755.46

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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.