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Finding the Third Proportional to 223,424 and 478,829

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Solution

The third proportional to 223,424 and 478,829 is: 1,026,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,424 : 478,829 = 478,829 : x
  2. Step 2: Convert to fraction form
    223,424/478,829 = 478,829/x
  3. Step 3: Cross multiply
    223,424x = 478,829 × 478,829
  4. Step 4: Simplify right side
    223,424x = 229,277,211,241
  5. Step 5: Solve for x
    x = 229,277,211,241/223,424
  6. Step 6: Final answer
    x = 1,026,197.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.