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Finding the Third Proportional to 227,098 and 477,712

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Solution

The third proportional to 227,098 and 477,712 is: 1,004,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,098 : 477,712 = 477,712 : x
  2. Step 2: Convert to fraction form
    227,098/477,712 = 477,712/x
  3. Step 3: Cross multiply
    227,098x = 477,712 × 477,712
  4. Step 4: Simplify right side
    227,098x = 228,208,754,944
  5. Step 5: Solve for x
    x = 228,208,754,944/227,098
  6. Step 6: Final answer
    x = 1,004,891.08

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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.