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Finding the Third Proportional to 227,030 and 477,586

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Solution

The third proportional to 227,030 and 477,586 is: 1,004,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,030 : 477,586 = 477,586 : x
  2. Step 2: Convert to fraction form
    227,030/477,586 = 477,586/x
  3. Step 3: Cross multiply
    227,030x = 477,586 × 477,586
  4. Step 4: Simplify right side
    227,030x = 228,088,387,396
  5. Step 5: Solve for x
    x = 228,088,387,396/227,030
  6. Step 6: Final answer
    x = 1,004,661.88

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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.