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Finding the Third Proportional to 227,286 and 478,534.50

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Solution

The third proportional to 227,286 and 478,534.50 is: 1,007,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,286 : 478,534.50 = 478,534.50 : x
  2. Step 2: Convert to fraction form
    227,286/478,534.50 = 478,534.50/x
  3. Step 3: Cross multiply
    227,286x = 478,534.50 × 478,534.50
  4. Step 4: Simplify right side
    227,286x = 228,995,267,690.25
  5. Step 5: Solve for x
    x = 228,995,267,690.25/227,286
  6. Step 6: Final answer
    x = 1,007,520.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.