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Finding the Third Proportional to 216,852 and 521,773

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Solution

The third proportional to 216,852 and 521,773 is: 1,255,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,852 : 521,773 = 521,773 : x
  2. Step 2: Convert to fraction form
    216,852/521,773 = 521,773/x
  3. Step 3: Cross multiply
    216,852x = 521,773 × 521,773
  4. Step 4: Simplify right side
    216,852x = 272,247,063,529
  5. Step 5: Solve for x
    x = 272,247,063,529/216,852
  6. Step 6: Final answer
    x = 1,255,451.02

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.