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Finding the Third Proportional to 223,440 and 469,860

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Solution

The third proportional to 223,440 and 469,860 is: 988,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,440 : 469,860 = 469,860 : x
  2. Step 2: Convert to fraction form
    223,440/469,860 = 469,860/x
  3. Step 3: Cross multiply
    223,440x = 469,860 × 469,860
  4. Step 4: Simplify right side
    223,440x = 220,768,419,600
  5. Step 5: Solve for x
    x = 220,768,419,600/223,440
  6. Step 6: Final answer
    x = 988,043.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.