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Finding the Third Proportional to 281,028 and 411,014

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Solution

The third proportional to 281,028 and 411,014 is: 601,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,028 : 411,014 = 411,014 : x
  2. Step 2: Convert to fraction form
    281,028/411,014 = 411,014/x
  3. Step 3: Cross multiply
    281,028x = 411,014 × 411,014
  4. Step 4: Simplify right side
    281,028x = 168,932,508,196
  5. Step 5: Solve for x
    x = 168,932,508,196/281,028
  6. Step 6: Final answer
    x = 601,123.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.